Larger springs have nothing to do with it.
Since you changed from 9's to 10's you have to tighten the screws on your claw. Tighten so the claw moves about 1/8 inch closer to the body at first, then a bit more if necessary.
When I’m first setting up a floating trem I will tune it a bit different, wind up your strings until the bridge is in the approx. correct position. Start to tune your strings but instead of going e,a,d,g,b,e. Tune both e's, then move in skipping strings etc... This will help with your problem with the bridge tension, saves a bit of time.
After this, if you still cant figure it out read this site;
http://www.ibanezrules.com/tech/setup/index.htm