since I am familiar with the Hyperion chargers that is what I will suggest, thier 0606 ac/dc model only has an output of 50 watts which isnt very much it would take about 3 Hrs to charge the 5s pack you have listed, but if you went with the 0610i (which I have and love) would do it in one 1hras long as you have a suitable PS.

you can multiply the voltage and ampage the pack has to determine how much wattage you would need to charge @1c and do the same for PS and allow yourself 20% for Efficiency loss...I have the Ofna 18amp PS and after the 20% gets factored in it is good for about 207 watts and I need 111 watts to charge my 6s 5000 pack and my charger will put out up to 250 watts