Stereo size and location questions..., Any thoughts?? Options

[914zim]

Hey guys:
My 914 has the original stock(?) AM radio in its usual place (not connected) and the glove box insides were removed and a newer/better stereo was mounted inside. I think this was a cool idea, but the glove box door could not be closed with the stereo mounted (not so cool - loose station presets).
Anyway, the stereo is kaput (my bad - it was old anyway) and I 'd like to keep this idea going but be able to keep the (new) stereo in the glove box at all times and be able to close the glove box door too. The problem is, there isn't a lot of depth in there. I'd guess I'd need a stereo that is only about 5" deep in order to make this work. There needs to be room for the wiring and antenna connection.
I've been searching everywhere for a decent 5" deep stereo, but can't seem to find one anywhere. I'd be looking to spend as little as possible ($150?) for this stereo, but if I found one that was 5" deep and would fit I might spend a little more.
So, here's the big question: Anyone ever seen a stereo that was only 5? deep? Do you think they even make them that shallow? I've checked JCW and ebay already - no luck.
If I can't find one, I just might restore the glove box back to the way it was, remove the stock AM radio and put a deeper stereo in that spot. I'm pretty sure there would be enough depth in that spot. Any thoughts or ideas?
Thanks and sorry for the long post.
Andy...