Mountain bike pop-up camper vacation would be awesome
You Can Pull the World's Smallest Pop-Up Camper With Your Bike (Pop Up Camping Hacks)
This bicycle camp trailer is perfect for Moab! Kamp-Rite Midget Bushtrekka Bicycle Camper Trailer with Oversize Tent Cot
This page has a list of bike camping trailers. Surely if you can pull a trailer with a bike there have to be some that your little car would happily tow.
Want to carry your bike rack with bikes while towing your trailer? No problem! The Bike Bunk mounts on your A-frame trailer tongue. It is designed for bike racks that fit hitches and are approved for use behind an RV. Capacity is 100 lbs.
SylvanSport GO camping travel trailer. This thing really is the coolest camper ever.