Personally, I'd go eat, go to gym, whatever. When they figure it out, I'll go to my room. Then I'll fill out my grievances. Took 3 hours to figure out, I'm considering that as part of my on duty time. Will ask for 3 hours of flight pay. 10 hour layover? Guess there will be a delay tomorrow.
It is not my job to book hotel rooms. It is not my job to find transportation. It IS my job to move the jet from point A to point B is a safe timely fashion. Does it suck waiting on a room? Absolutely. I Will will not pay for it expecting to be reimbursed.