It looks like you need about 35A to cold-start a 50cc engine, so assuming a generous 3 seconds of cranking time, it looks like six(6) 2.7V 50F caps would be sufficient. The capacitors have a very low internal resistance, so they can handle well over 100 amps.
If you convert everything to stored energy, you get the equation System voltage × Crank amps x Time = ½ × Total capacitance × Capacitor voltage². Moving stuff around and plugging in the right totals, this is what I got.

You can get 50F caps from an electronics supplier for $5-6 each plus shipping, so the whole thing works out to about $40.
Does this look right to you all? Any suggestions?