WWW - why not try it in the sim, maybe from the power cutback (say) 1000' AAL and see how you get on.
BEagle - you say its outside the realms of consideration but how about the SAS MD80 (or whatever it was) that suffered a double engine failiure due to ice which had formed over the cold soaked fuel tanks and then broke off and entered the rear mounted engines. Happened about 10 years ago and they got id down reasonably OK in afield (straight ahead but the problem occured at low height straight after takeoff)
Regards