Buy the Radiomaster Pocket, get a plane and go fly! It fits your budget and is a great radio with all the switches you will need until you get into very complex planes. Don't wait to get the "perfect" radio, get what you can afford right now and go fly. A second plane or extra batteries are a much better investment than a fancy radio when starting out.
Don't let anyone talk you into a budget busting fancy radio because you may want some feature it has two years from now or will "grow into it". A year or two from now you will have even better options to upgrade to if you end up wanting or needing a fancy radio. Many people with fancy radios don't use most of the switches anyway. The pocket is perfectly capable of flying EDF jets and has all the switches you actually need to fly one.
TX15 and TX16s are nice, if you don't mind the large form factor, but they don't fit your budget.