Actual Rubicon, or not, that's not a bad looking Jeep.
3 yrs ago I paid about $16,500 for my 60,000 mile Rubicon that was all stock except for the wheels. I don't think I would have paid anywhere near that if it had been modified, it's usually kinda hard to tell if something was done right and how much, or if, it was beaten and abused off road after the modifications.
Little over 100k miles should be far from the end of it's useful life but it's more than mine had and the R title isn't going to help either. My hate for the existence of R titles in general, not any particular vehicle, is another topic.
With all that typed out, I'd do a lower but still high version of what Doug-AK suggested. Maybe start around the $16.500 that mine cost and be ready to drop. You never know when a rich JK/JL buyer will need a toy for their kid. Of course it would have to be an automatic to pull that off.
We've given you a few opinions about price and there may be more on their way, so since you have no real ties to it, what was your idea of what it's worth and have we caused that to change?