You could put a couple of pvc pipes built into the tear - one towards the front and one at the top of the hatch. They would run crosswise of the tear and you would probably want to have a way to cap them when you are using the teardrop. Anyway, when you want to remove the tear, insert a pipe that is longer than the tear is wide and use ropes or chains to raise the tear up to the ceiling of your garage or barn, etc. You could just use 4 or 6 blots to bolt it down to the trailer when in use. I would suggest the bolts be permanent in the tear and then you would only have to remove the nuts from underneath when you want to remove it from the trailer.
I guess the side to side pipes could be located down at the floor also, provided that you leave room. I guess you could build some attachment locations right into the side of the tear also and be able to have doors or covers over them.
If you want some rough drawings, just let me know and I will try to do a couple up to explain this better.
Just an idea or two!
Edit: Here is a picture of the idea(s):
NOTE: Holes not to scale.