I own/have owned several Kiesel (formerly Carvin) guitars. You can order a nice one for the upper end of your price range and be able to pick your body wood, neck wood, fretboard wood, inlay type, pickups, etc. Most models come standard with a 14-inch radius, but you can order a 12 or 20 inch on some models. I have ordered all of mine with tung oiled necks for the very same reason you are complaining about. I don't like sticky gloss necks, either. My guitars with the tung oiled necks are so smooth they feel like silk under my hands. I love the necks on my Kiesels. If you don't want to wait around for a custom shop, they always have several prebuilt ones in stock that you can order.