There is another option. You could get a weave. A hairpiece is sewn into your existing hair to cover the bald patch. I think you have to have it re-sewn like once a month but I've seen people with them and it looks really good. Plus since it's sewn in it won't blow off or shift. I don't know how expensive it is. If you decide to use a wig make sure you pin it into your own hair or get one with a snug band. I once saw a woman in the parking lot if the grocery store. It was like really windy that day and her wig blew right off her head . My dad and I nearly died laughing watching her chase after it.
Julia