Never worked with KOH, but I believe it's more difficult to dissolve in methanol than NaOH and NaOH takes quite a lot of agitation. I'd doubt if bubbling would be sufficiently turbulent.
Additionally I suspect you'd have problems contaminating the methoxide. If blow air through the mix I recon the methanol will pull the moisture from the air, humidity can be surprisingly high some days.
I'd also be weary of pumping methanol. The safest way is low speed mechanical mixing and entraining the mix into the processor preferably with a venturi. Some people tap into the processor pump suction which should be OK if some way from the pump.