Need more info
Is it a single lever faucet or two separate ones.
By your description it sounds like a single handle one.
If it is, you might want to try turning that outside ring counter clockwise. and go from there. If it was a Delta I could walk you through the whole process, but it looks like some weird make.
For what it is worth, I just replaced our kitchen faucet in our travel trailer with a double handle Delta one with a high goose neck spout.
It was the easiest plumbing job I have ever done, and there were no tools required
The whole job including taking out the old faucet took about fifteen minutes or less
Jack L