Hi ThomJohn,
11's are kinda big !
Do you play with a kungfu grip ? These are like a Zakk size set which will req. a higher bridge setting and pull the neck into more relief when tuned.
9 or 10 will let you get lower action, esp low e with less or no buzzing. Thicker the wound strings, the larger the vibration radius. Intonation will also improve .
Just my 2 cents.
Peace