Redistributing commissions are an awful idea in most cases because you take control of redistributing even further from the voters hands and put it with whoever gets to control the commission. Maps should just be mandated to have certain anti-gerrymandering restrictions (such as compactness and county line cut requirements) then turn it back over to the legislatures. Legislative maps should follow the same principles. Theres no reason that redistributing should vary state by state and theres no reason that unelected members of a committee should get to draw lines over elected officials, as long as the elected officials do not have carte blanche.
There is an inherent conflict in allowing legislators, elected in districts, to draw the districts in which they will be elected.