I believe AP can do a custom cage. I ordered mine from C-serpents...They don't advertise that they do cages, but will on special order. That said, you have to pick it up from a show they vend because they assemble them and won't ship them. With AP, you need to call or email to ask for modifications. They have recessed LED light now, but it isn't on the website (you have to request it)..I really like the look of the recessed lighting and it comes installed already.
If I had to do it over again, I'd honestly have gone with an RHP instead of the light fixture and cut out. They main reason is that the cage can't be stacked under another cage and you've got the dome fixture sitting on top of it (which doesn't look great). If you're sure you won't need to put another cage on top of it, and don't mind the look of the dome fixture, then a setup like mine should work for you.
You shouldn't need additional heat if you're using an RHP or basking spot unless the room is very cold. My cage stays in my reptile room which has an ambient temp of 75f, the basking spot is just under 100f, so that gives the skink a good temp range.
I keep my basking lamp and inside tank LED light strip on a timer and do not provide additional heat at night. If you go with an RHP, you can leave it on 24/7 as it won't emit light.