LP vs strat : As both have been played about equally around the world for the last 50 years, I guess there is no point in discussing which is "best" or whatever. Many of the big names out there play both by the way.
So do I.
When it comes to the "floating bridge" issue on the strat, I have solved this quite easily : springs adjusted so the bridge will only go one way (down), the bridge is as glued to the body when I am not pushing the vibrato arm ( and I push it a lot...).
And the hum from the single coils ? There are many solutions out there like noiseless pickups etc...