How to I calculate max current draw for this circuit?
I'm not going to finish the problem for you,  but i can point out a couple of places you went wrong. 


Why did you assume that the capacitor is shorted for max current draw?  Instead, assume that max draw happens when you are saturating the amplifier - id assume a waveform that is 50% saturated high and 50% saturated low.  
Your gain of 101 only applies to small signal waveforms. In reality,  if the output voltage of the op amp is greater than it's max output swing (typically +/- 13V or so for a +/- 15V op amp,  it will rail high or low. 
The current through the base of the transistors will be probably 2 orders of magnitude lower than the current thorough the collector,  so unless you're trying to be really precise,  you can likely ignore it.
The most current you could ever get through the transistor is what you'd get if one or the other transistor (Not both at the same time)  was assumed to be fully on,  and is limited by the 100 ohm resistor - as well as any resistance of the speaker.