As others have said, Don't put yourself in a position to be taken advantage of. A lot of operations would think about throwing you in the right seat of a single or light twin and expect you to be greatful for the time and work for nothing, but you'd only be doing yourself a diservice. If you can find a company who will train you in an airplane that requires you to be there and compensate you for your service, by all means take it. Otherwise get the CFI.
Also, stay away from anymore sim programs that get you jet sim time. It won't do a thing for you. Spend the money getting your CFI/II and you'll gain a lot of experience and knowledge going that route.
TAB Express just sent my company a stack of resume`s from their graduates. Many have 250 to 300 hours! Their resume is filled with 20 hours sim time in this a/c, 30 sim in that a/c. And it doesn't really look good.