Ha,
Boro. Why a ring when Sauron could have made something interesting? Like, well, I don't know. A Salt Shaker of Doom. Rings are such a cliche. Now Feanor was someone with originality. Silmarils and Palantiri are special, unlike a humdrum golden band. And if were going to talk rings, Celebrimbor's were better. Giving them appearances to match powers (to some extent anyway) was a nice touch.
Let's say Sauron didn't want to hide his ring. Why did he leave it behind (presumably) when he went to Numenor? Besides, for his plan to control the Elven rings to work, it had to be a secret. Couldn't expect the Elves to use theirs if they knew about Sauron's little plans, could you?
And I still say it's pretty stupid to put your power as a Dark Lord into a loseable, destructable object. Could he really 100% know what would happen to him without the Ring. Probably not. So it's a bad move to tie yourself to it if you can't be sure of the consequences. Arrogance about no one being able to access/steal/destroy the thing aside.
Arrogance is yet another point against Sauron.