The Swallow should do the job. You have a 3S battery (11,1V=3S, not 10S!!!) (10S have a nominal voltage of 37Volt...) And you say the charger can do up to 5S?
Set the charger at 3S and charge current at 1200mA (1,2A) or less. Best is to charge at lower current if you have time. 600mA is good, and 1200mA is MAX.

Btw: a year ago some Swallow Adv chargers on the market were out of calibration, they charged at a voltage close to 13V when they should have stopped at 12,6. The display showed 12,6, but measuring with a good DVM showed 13. A friend of mine got one of these and destroyed brand new LiPoes.