I'm not as familiar with batting as you'd think. I used to get whatever was on sale and now I try to save for either bamboo or warm and natural. The advice I have regarding the quilting for the batting would be to look on the bag it comes in. Usually, it'll tell you if you need to quilt it every 4 inches, 6 inches, 8 inches, etc. Anymore, with such modern conveniences like FMQ and longarming, you don't need to quilt the daylights out of it.
I don't know what size your blocks are. If they are 12 inches, then going around the outer edge and the interior pinwheel should be sufficient. Again, I'd check the packaging on the batting for further info.