That’s sad to hear, shame that in these times we have to worry about our property like that!!
Something you might consider doing is make a list of all pawn shops in a 50 mile radius or maybe larger “not familiar with your area” and start calling them too ask if the ring is there with whatever identifiable markings are on it. “naturally if you get a hit let the police know and go get it”
If you still have the receipt for the ring dig it out and make a copy and carry it with you just in case you stumble across the ring somewhere by chance.
Also write up a description page and if you have a picture of the ring include that as well and fax the info to the pawn shops as stolen property of yours that your trying to recover.
Yes the police, Comcast and whoever else is investigating it BUT who does the ring mean the most too!!! “That would be you and you will look harder for it”
These other people are more than likely looking for thousands of other items at the same time!
Good Luck!