When I had a small
greenhouse on my old place in GA, I'd get three years out of my plastic by just this method....taking it down in the warm months. It was a vary ramshackle greenhouse....frame of bent saplings and plastic weighed down along the edges with logs and bricks, tied to the frame where needed by tucks in the edges of the plastic around rocks or nuts (this is a wonderfully strong tie, and better than grommets on a tarp).
What's more, if I was short of money, I'd scrounge new plastic.
Mattress and furniture store dumpsters.....these things are shipped in huge plastic bags which can be opened up and trimmed into large square or rectangular pieces which can then be "candle welded" into any size you want. There was so much I could afford to be picky and trim out or reject any with lots of holes; a few small holes I would patch with clear packing tape. I would always put two layers on the frame, and then just fold it all up and stick it in a box for the summer....
Maybe not the most attractive, but it achieved it's purpose.