Really,after looking at all the roller bridges,locking tuners,slick nuts,roller nuts,slippery sauces and other stuff,you really begin to appreciate the floyd design...its a pain,but it works and with a proper setup it is a joy...

The best thing to increase tuning stability on you guitar would be

1.locking tuners
2.graphite nut,earvana nut or 'lsr roller nut'
3.Graphtech saddles for the bridge
4.Big ben's nut sauce or other lubricant

Even with the above,don't expect to have a whammy machine..you'll be able to get away with light trem use or mabey a divebomb here and there if your lucky.