You should have a 4S A123 pack (just a bit more voltage than a 3S LiPo). Your 2826-10 will need a 40 amp controller as it will draw in the 30+ amp range - wide open throttle. Here we have a slight problem if you want 6 minutes. The most you can draw for this duration is about 16-18 amps. Not unreasonable if you don't fly full throttle the whole flight.

For a charger there is none better than the CellPro. It will charge the A123 pack in about 50 minutes. While the A123 can be charged in 15 minutes, you would need a charger with 10 amp capability. You are talking some $eriou$ dollar$ here. Better to have a couple of A123 packs ($45 each) so you can be charging one while flying the other. You might consider going to a 2826-12 as it would give you good performance and not have quite a heavy drain on the battery - longer flight tiime. If you are building up the A123 packs get some CellPro balancing plugs from FMA.