There is probably no one on Earth who works harder to conserve money than me, Ashley, but even I, I think, would opt for staying where the training is held. Those prices don't sound bad for such a big city(heck, back 5-6 yrs. ago, a friend and I went down to Deming NM(Tiny, not much of a town)for a CDE driving clinic, and paid nearly $80 a night for a La Quinta room!)I'd consider, at least...How would you get back and forth(at what cost, how difficult would the commute be?),what kind of 'neighborhood' would the other place be in? (Hard to know when you aren't familiar w/ the city)...etc. Your SAFETY is paramount, a consideration above all others!
I am so old I remember when EVERYTHING was so VERY MUCH less expensive, so I am almost always taken aback by the cost of nearly everything these days! But again, it is your safety that is most important.
Best of luck on your trip and training,
Margo