Cant work out what that is meant for, quick read sort of says - for Lithium, then NOT FOR LITHIUM
Could be a good unit but not cheap and depends if you can fit it in the case.
I would be tempted to just string 18650's in series and forget the balance. - or, it is simple to add a balance lead and go for the external charger / balancer. A B6 unit would work ok, the B6AC is better though as you just plug it into the mains. And, you can charge ANYTHING with it. I use it for my SLA units, NiMh units and also the Quads Lipos and the 18650 sets. Fully adjustable and programmable.
Either way, that unit your link to may be fine. Worth considering the 22V you have would almost certainly not be enough to fully charge the battery due to the voltage differential needed to the board. the batteries (a 5s) would top out at 21V. A 1v difference is probably not workable. Probably mean you would need another supply - unless you can tweak the supply you have to around 24v ?