IMHO take the jet (if there is no other difference in T&C and you have a job secured at the end etc) Jet flying isn't that hard, and will open up much more job opportunities later! So long as you have reasonable capacity and a good pilot I'm sure you would find the jet fine.
Regarding hands on with the jet, depends on the company. My chief pilot would be pissed off if I didn't fly with all automatics/FD off on a regular basis. What trade do you learn on a TP that you don't learn on a jet?!
Cheers.