If you want something new, then no. You're not going to find such a thing. I apologise. However, if you don't want to increase your budget, maybe a look at EBay/Gumtree/Craigslist will be worth your time. Be warned, though, such a purchase has no guarantees of quality. If you find any, post links here, so i and others on the forum can make sure it'll play Minecraft as requested.