Get a turboprop, you are operating at high density altitudes with that heat. Something with aircon would also aid teaching as it will reduce pilot fatigue. A used C90 or similar would be my choice..
Some single engine performance figures for you (note these are
ISA SEA LEVEL DENSITY ALTITUDE)
<ul type="square">[*] PA-23-160 G,-H Apache 180[*] PA-44-180T Turbo Seminole 180[*] 80 Queen Air 180[*] PA-34 C/R Seneca (1973-'74) 190[*] GA-7 Cougar (twin) '77 svc. cells=18,300&4,900 200[*] 335 II nonpressurized/turbocharged 200[*] 58 TC Baron (non-press./turbochg.) '78 Lgt=9/2 204[*] 58 P Baron-Press.('77 ht.-9/6) (range ,190 fuel) 204[*] E 95 Travel Air (fuel inj.) 205[*] B 95A, D 95A Travel Air (fuel inj.) 205[*] 95, B95 Travel Air (95 = 4,000 lb. gross) 205[*] 58 P Baron turbochg.-specs thru 1976 205[*] B 80 Queen Air 1973 thru 1978 210[*] 65 Queen Air 210[*] PA-44-180 Seminole 212[*] PA-23-235 Apache 220[*] T303 Crusader 220[*] 58 P Baron(325) pressurized (range on 190 fuel) 223[*] D 18 S Twin Beech 225[*] PA-39 C/R Turbo Twin Comanche 225[*] PA-30 C Turbo Twin Comanche 225[*] PA-34-200T C/R Turbo Seneca II 225[*] PA-23 F Turbo Aztec (prior'77=7 gal more fuel) 225[*] 402B, Business Liner 225[*] 402-A turbocharged 225[*] PA-31-350 Chieftain ('81=otional fuel) 230[*] 70 Queen Air 230[*] PA-34-200 C/R Seneca (1972) 230[*] 404 Titan Ambassador II 230[*] 76 Duchess 235[*] PA-23 F Aztec (prior '77=7 gal more fuel) 235[*] PA-23-150 Apache 240[*] PA-34-220T Seneca III;IV(roc=takeoff power) 240[*] PA-601P pressurized Aerostar ('77 s. cell=26,350) 240[*] PA-601B turbochg Aerostar (prior'80=less perf) 240[*] PA-23 D,E Aztec (prior '72 length=30/2) 240[*] PA-23 C,D Turbo Aztec (C=4 gal more fuel) 240[*] PA-23 C Aztec 240[*] 414 pressurized-turbocharged 240[*] PA31 P Press Navajo (prior'77=6 gal more fuel) 240[*] PA-31-310 Turbo Navajo B,C(prior '80 less fuel) 245[*] A 65 Queen Air 245[*] PA-31-310 Turbo Navajo 245[*] 340 pressurized/turbocharged 250[*] PA-31P-350 Mojave 255[*] PA-31-325Navajo C/R ('81=optional fuel) 255[*] 401-A &B turbocharged 255[*] H 18 Super Twin Beech 260[*] PA-39 C/R Twin Comanche 260[*] PA-30 C Twin Comanche 260[*] PA-30 B Turbo Twin Comanche 260[*] PA-30, B Twin Comanche 260[*] 88 queen Air pressurized 265[*] B 80 Queen Air - specs thru 1972 265[*] PA-23 E Turbo Aztec (1971 length=30/2) 265[*] PA-31-300 Navajo 270[*] 58 TC Baron (325) turbochg-non-pressurized 270[*] A 80 Queen Air 275[*] E 18 Super Twin Beech 290[*] H,J 50 Twin Bonanza supercharged 290[*] D50,A,B,C,E, Twin Bonanza 290[*] 414A II Chancellor (press-turbochg)('78 span=44/30 290[*] G 18 Super Twin Beech 300[*] C 50 Twin Bonanza 300[*] B 50 Twin Bonanza 300[*] 421 - A & B 300[*] 421 pressurized/turbocharged 300[*] 402C Business Liner II 301[*] PA-602P Aerostar 302[*] 421B Golden Eagle 305[*] B 60 Duke pressurized (prior '78t/0 run=2006) 307[*] A 60 Duke pressurized 307[*] 340 A, II pressurized/turbocharged 315[*] 60 Duke Pressurized 319[*] 50 Twin Bonanza 320[*] B 55 (SN 955 & up=5000 lb. gross; SN 502 thru 954 eligible 5100 320[*] PA-60-700P Aerostar (preliminary) 320[*] 411, A, turbocharged 320[*] E,F,G 50 Twin Bonanza supercharged 325[*] 310 Q 327[*] 310 P 330[*] 310K,L,N (fuel inj.) 330[*] T-337 H-II Turbo (prior'79 t/o perf=1,620 & 1,000) 335[*] C55, D55 Baron 335[*] 55 Baron 350[*] A 55 Baron 350[*] 421C Golden Eagle III ('79 stall=85 mph) 350[*] 425 Conquest I 357[*] 310 I, J (fuel inj.) 360[*] PA-600,600A,-Aerostar 360[*] PA-23, B Aztec (B=30/2 length) 365[*] 310 R, II 370[*] PA-601, 601A, turbochg Aerostar 370[*] T 337 G-P II, H-P, Skymaster pressurized 375[*] 310 F,-G (fuel inj.) 375[*] 310 H (fuel inj.) 380[*] 310,-A 380[*] E 55 Baron ('70-'72 fuel=142 optional) 388[*] 58 Baron ('76 & prior fuel=166 optional) 390[*] T 310 R, II turbocharged 390[*] 58 Baron (300 hp) 394[*] B 55 Baron (1978 & up) 397[*] 320 Skyknight turbocharged 400[*] T 310 Q turbocharged 408[*] A56TC Turbo Baron 410[*] 56 TC Turbo Baron ('67 & '68 fuel=178 optional) 410[*] PA-31T-500-I Cheyenne I (prior '80 less perform.) 413[*] 425 Corsair 434[*] PA-31T IA Cheyenne IA 440[*] T 310 P turbocharged 440[*] 320 A-B-C Skyknight turbocharged 450[*] B100 King Air (prior '79 serv. ceiling=29,100) 452[*] A100 King Air 452[*] PA-31T-620 XL Cheyenne II XL (1982-'83 specs) 470[*] E 90 King Air 470[*] 320D-E-F, Skyknight turbocharged (D gross=5,200) 475[*] A 90 King Air 490[*] 90 King Air 525[*] PA-42-720 Cheyenne III(prior'82 8 gal less fuel) 531[*] C 90,C90-1 (-1 has increased speed) 539[*] B 90 King Air 555[*] F90 King Air 600[*] 100 King Air 608[*] PA-42-720 Cheyenne III A 625[*] C90A King Air(LJ-1063 up)(10,100 GW=SN1138 up) 626[*] F90-1 King Air 632[*] PA-31T-620 Cheyenne II 660[*] 441 Conquest 715[*] B200 Super King Air 740[*] 200 Super King Air (prior '79 serv. ceil=31,00) 740[*] Citation I 500 800[*] Citation 500 (SN 303 & up = 11,850 lb gross) 800[*] 650 Citation VI 805[*] 650 Citation III (SN 100 and up) 805[*] Citation I 500/501 (unit-0470 thru -0677 & on) 826[*] Starship 2000 (2000A=increased spds & weights) 850[*] S550 Citation SII 860[*] 300 Super King Air (300LW has decr. weights) 867[*] 650 Citation III (thru SN 099) 902[*] Citation 500 (SN 1-70) 906[*] Citation II 550 (thru SN 626) 906[*] 350 Super King Air 912[*] Citation II 550 (SN 627 & up) 930[*] 650 Citation VII 990[*] PA-42-1000 Cheyenne 400LS 997[*] Citationjet 525 1,070[*] Beechjet 400 (400A has increased weights) 1,110[*] Citation II 551 1,170. .[/list]