A 10Ah battery will work, but the plane will fly like a brick. Possibly straight down.
A 2200 30c will easily meet the requirements of a foamboard twin.
C rating is a function of capacity. To find the true peak output take the C rating x battery capacity in AmpHrs not Milli amp hours.. So a 2200mah 30c can actually do 30x2.2= 66A.
ESC’s don’t draw current, the motor does, the ESC is just the electronic controller for the motor, if the motor draws more than the ESC is rated for then it gets hot or smokes. Motors don’t draw their full max current all the time either, for example when you are cruising round at moderate throttle, the motor won’t need as much “fuel” and so doesn’t draw as much current. Current draw is related to load on the motor, faster turning with a bigger prop = more load, for example.