I have sporran hangers from Donnie at Wyvern Leatherworks

Scroll to the bottom of that page.
They snap as well, but they are not as thick as you described and have always worked well for me.
Pretty nice for only a $10.00 investment.
He also makes the leather sporran belt.
I haven't used one of his belts yet, but have one on order.

I don't have any of Oconee Leather Works yet, but know plenty of people that do that really like his as well.
One of his kilt belts is on my must have list.