P.S. I use a unique string setup 54,42,30,22,15,11 and have also been tempted to go to 12's on E string.
Ernie Ball makes a set like this that are called "Beefy Slinky". Some people don't like Ernie Ball but I like this string size for the jag (especially for short scale) and jazzmaster. It gives a fuller sound especially on the bass and even with these thicker strings they never bounce outta the rollers.
Regards,