PLEASE, not in a drawer without something else on them. Wig heads are excellent, and the best, but they take up a lot of room. With a wig head, get an old pillow case to put over them to keep dust off of them. As I mentioned above, I have quite a few wigs, and I use the clear plastic shoe boxes you can get from on of the big box stores for about $2.00. One wig per box, and the cap keeps its integrity fairly well. If it is a long wig, gather it up with a gentle twist, and put the ends in the cap when you put it in the box. This is gentle and will keep it from tangling. Brush/Comb the wig just before doing this to straighten out the fiber a bit. Use a little bit of sachet or pot pourri flowers in a piece of cheese cloth in the box, and it comes out smelling nice and flowery.
You can get wigs for under $100 but they are just a notch above grabbing a road kill racoon and using it for a wig. Find a gender friendly wig or TG store in your area and let the stylist there help you. One or two places do have good wigs that will last a year or more for just about $100, but know the brand name ahead of time. I like the Jon Renau, Rene Of Paris, and Noriko brands that are sold by several of the online places, that are listed on Susan's resource page, but I prefer to go to a real store if I can, and here in Calif, they do exist in several places.