Either that or the JB jr. with a lil 59 in the neck. You can even keep your stock single coil in the middle for an HSH setup which is really popular and more affordable too. But if you wanted to go a little futher, you can get Duncan's Duckbucker pickup in the middle for a fully noiseless set up like rails Scott recommended, and it makes up the Duncan Everything Axe set, which covers an amazing amount of tones, including the ones you listed. They also come in prewired pickguards so installation becomes much easier, and that prewired pickguard is right at your price limit in the color of your choice. Though ones like pearl are more expensive.
http://www.seymourduncan.com/products/electric/sets/everything_axe_1/
That and they come with Duncan's Liberator system, which makes swapping pickups easier if you ever want to in the future. By the way, you have awesome taste.