That all sounds good to me. I have mine in a cage that is 5' long, 2 1/2'wide and 3' tall. Yours could probably fit a pair. Your lighting and everything else sounds good. I feed my chucks collard greens,bokchoy,banana and a frozen/thawed veggie mix with carrots, corn, green beans, lima beans and peas My chucks love that.

Also, it would probably be better to keep them inside. Chuckwallas are VERY smart and will figure out a way to get out.