moving to thicker strings without messing with the compensated nut…

A while ago I posted this – thanks to all those who chimed in.

With the central heating on for a few weeks now, it is almost time to get my new Reflex professionally set up (first set up is free from the store I bought it).

I am going to ask the floating trem to be fully blocked and I am going to request either standard C or Drop C tuning. I am going to need to move to a thicker string gauge than 10-46. Here is the Reflex:

I would appreciate if you could please share your experiences with thicker gauges and the compensated nut. I do not want the Luthier to mess with the compensated nut.

How thick can they go before binding becomes a problem? My guess is 11s should not be a problem. Or am I wrong? What a bout 12s, or a hybrid ‘heavy bottom’ set?

Thank you.

Cheers!