I just re-read my reply & realized I got it backwards!  I think going up to 10s from 9s will pull the bridge up more & make a floating bridge float higher.

Also, I use 9s & regularly break the high E string much more frequently than the other strings.  I even like to say if I haven't broken an E string I haven't been practicing enough.  :)  Anyway, my solution is to just buy packs of 9s.  Then I just replace that string when I break one.  I typically go through 4 or 5 high E strings before I change the whole set in a week or two.

Hope that helps!