Hi Stacy,
You can certainly display the Room Availability by Night on the Hotel Request Form.
You can edit this setting under:
Event Details > Travel > Hotel Accommodations > "Hotel Request Setup" (top left) > Edit > Room Rates & Availability: Yes > Save.
This will display a room availability chart per night.
Hope this helps!
Let me know if you face any issues.
Regards,
Ankita Gupta