They might ask for corp id or they might not. If you've got it (corp biz card, corp pic id, etc), you won't have a problem. If you don't, then you'll be charged rack rate (aka, the $250).
Another alternative is to book a hotel via Priceline. Many times hotels can be booked very cheaply via Priceline, and you won't have to worry about producing a corp i.d.
There is a forum on FT called Budget Travel. You can get information there re: how to book via Priceline. You won't earn hotel points or night credit via stays booked on PL, but it doesn't sound as those are important to you as getting a reasonable rate.
http://www.flyertalk.com/forum/budget-travel-597/
Good luck!
Cheers.