Still don't think that would work, because Enchanting would basically have to be terrible to stop you having 10 enchantments just on your fingers that make you OP. Then you get people complaining that Enchanting is bad, why can you wear so many rings... Etc.
You wouldn't have to make Enchanting terrible at all.
You could simply prevent Enchantments from stacking. I.e. couldn't have all 10 rings give 10% Magika reduction.
You could simply cap stacking at a certain point, i.e. you can't get higher than 50%.
You could simply make it so that rings could only carry certain enchantments.
Etc.