Same. I have an Ibanez with a FR bridge and I'm also done dealing with that. My own research has led me to the LTD guitars, they have several good ones in that price range, all of the [X]-200 series ones. My personal favorite that I played on at a guitar store is the Telecaster shaped TE-200, it plays like a dream and is super comfortable. They all have dual humbucker setups, with coil split on the tone knob, so they can do a lot of different sounds.
The other thing I'm looking into, is just staying with Ibanez, since I love their playability and comfort, and they still sound pretty good, especially after you're out of the Gio lines. The RG/RGA/S 421 line are what you and I are looking for: dual humbucker, fixed bridge setup, and still in the budget range.

Other than those, like other people in the thread recommended, look around for some SG shaped guitars, or even Telecasters! They're a lot more versatile than people give them credit for (and honestly I think I've converted myself into a Tele guy during this research)