You'll have to pull the posts, dowel them, and re-drill new ones to put a Wilkinson on a floyd guitar.. Not to mention, if you don't want it to float(same problems you're having now) you'll either have to block it or fill the entire rout cavity.
In other words, to put a
strat trem or wilkinson on your guitar, you'll have to almost ruin the guitar.
Have your LoPro blocked, it's the best solution, you won't get any pull ups though.. Stable pull-ups, and alt tuning on the fly, aren't something that works well. If you want any pull up at all, you'll need to adjust things when you change tunings, that's just the nature of the beast.
If you do block it, and install locking tuners, the nut is gonna need to be replaced with something that has much less friction, like graphite or a roller nut.
I know you don't want to hear it, but changing tuning constantly needs a stop tail. Floyds(OFR, Edge) are the only trem I trust to stay in tune through real trem work, but they come at a cost, nothing's perfect.
You could try installing a trem-setter, but I dunno how much change in pitch they'll put up with.
