[hoober]

That's not quite what I meant. Here's:

2 small 2200 mah cells soldered permanently together in parallel to make one 4400 cell.

Make a 4S pack out of these 2P 4400 cells, technically there are 8 cell , but still falls within the max votage and max series rule. Really no difference in performance than a pair of 4S packs in parallel.