Usually the same kind of mounting that you would use for a picture frame is OK for a bass trap. If you are using really thick/heavy wood for the frame then you might need heavy duty picture hanging hardware, but to be clear the only thing you need a frame for on panels is to give them a crisp edge.
As for Superchunks I am not a big fan of them. The problem is that they are an inefficient use of the money you are spending on fiberglass or rockwool. You are using an ENTIRE BALE of rockwool all in one corner, getting yourself no absorbtion on the opposite diagonal and none to control slap echoes on the parallel walls.
You could take the same bale as you used to build the superchunk and make four four-inch panels for the corners and four two inch panels for the parallel walls and/or clouds (or some other combination appropriate to the room accoustics). There are very few rooms that could not be tamed with one bale of 703 fiberglass inteligently placed. Putting the entire bale into one corner is not inteligently placed.