A new rim isn't going to fix your spoke breaking problem. Are they breaking at the J-bend on the hub side, at the crosses or what? Who built the wheels, did they check to make sure there was even tension and did tension them high enough?
If they are breaking at the j-bend, using straight gauge isn't going to help. And because they don't cross as well or flex as much, it might end up worse. You can use a larger spoke like DT Alpine III which is 13G at the bend. Another option is using spoke washers to effectively make the spoke hole tighter. There are somethings you can do on the build too like tap the spoke heads to make sure they are fully seated. And as mentioned above, even spoke tension and high enough spoke tension are critical as well. Most people don't tension the wheel high enough.
If they are breaking at the crosses, the wheels are most likely not tensioned high enough. Tying and soldering might help here as well.
Anyway you slice it, the guy your going to isn't cutting it. You should take your wheel building needs somewhere else.