You can set up a Fender trem (or even a Floyd) with extra spring tension so it sits flat on the body and doesn't move when you bend strings. But it means you have to be a bit more heavy-handed with the bar when you want to use it.
This is what Mr Van Halen does I believe.
I really like hitting big open string drone notes and bending notes on another string against that so this has always been an issue for me. I have two guitars, a strat and a Charvel Eddie VH super strat with a Floyd and D-Tuna. The trem lies flat against the body on both guitars. In the case of the EVH, that's how it came set up from Charvel. It only has two springs and I don't find it offers uncomfortable amounts of resistance when I dive-bomb it so that's a possibility perhaps? This is what it looks like:
(http://farm4.static.flickr.com/3404/3345746575_4cf98bb276_o.jpg) (http://www.flickr.com/photos/mr_atrocity/3345746575/)
My other guitar, the strat, is also set up with the trem flat and on that I did add a couple of springs to the trem block because it helps my tone. The way I set it up was to play an open string and then bend a note against it and listened to hear if the open string went flat. If it did, then I screwed the trem claw in a bit and repeated until the note stayed steady against the bend. That way, I hoped, that I'd get the stability I wanted with the minimum amount pull from the trem springs. It's worked for me so far.