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.
Folding Camper Tent & Utility ATV Trailer Motorcycle Camp Camping Popup Pop Up
SylvanSport GO camping travel trailer. This thing really is the coolest camper ever.