Looking for advice on anything we can do to make our extreme delay better.

My wife and I were scheduled to fly MIA-> DCA on american airlines this evening. The flight was originally delayed from 9:15 to 11:20. After boarding the plane the crew timed out and they deplaned us. Flight got rescheduled to 6:00 am the next day (or I guess today now). We just saw its been delayed again until 10 am. My brain has stopped functioning. They gave us hotel vouchers, no available hotels. So we are bumming in in the D gate of MIA and praying we dont get another delay. I looked it up and AA can just delay us indefinitely until they get a spot to fly. Is there anything I can do at all?

Edit to follow the rules: flight is AA1233 date of travel in quest May 2 and now May 3