I'm also a big fan of arch extension-less minis and all of mine are without arches.
I'm running cars on either 4.5" wide (Cooper S offset minilites & steels) or 5" wide wheels (ET22.2 very agressive) all on 165 wide tyres all without arches.
Cooperman hits the nail on the head though, it's all about the offset of the wheel.
My 5" wide wheel is questionable due to the offset and I think is about the limit you can get away with archless. I think when they were supplied in the 70's they were supplied with arches.
I can't tell what width yours are without further pictures, although they do look to have quite a dish on them (lower offset)
You also have the holes the old arch fixings leave that you'd have to plug somehow.
Joe