The Swick concept should probably work great with the cloth pots you have!
They both have the same concept of a reservoir of water below the pot. The swick moves the water with wicks of some sort, usually some sort of rope, one end touching the bottom of the reservoir and the other up into the soil mix or running along the bottom of a cloth pot.
A SIP is generally one integrated system and uses the soil itself to wick the moisture up, with the added air gap up into the lower roots.
The challenge I've found with swicks is that it is important to match the wick size to the plant size so having the ability to start small and then increase the size or quantity of the wicks is important (and a feature I didn't think to build into mine back when I was messing around with them).