I'm so sorry for your loss and can only imagine what it's like to have a bike stolen. I did meet someone who had a similar experience though, and I saw what he went through.
He was a fellow rider I would frequently meet on a local bike trail. I met up with him one day last year and he was riding a cheap Walmart bike instead of his cherished
Specialized Turbo Vado. Almost tearfully, he told me it had been stolen when he went in the Post Office to mail a letter. He didn't bother to lock up the bike and was only gone 5 minutes, but the bike was gone when he came back.
I ran into him again a couple of months later and he was riding a Vado again. I assumed he had bought a new bike, but he told me he managed to recover the one that was stolen. He saw an ad on Craigslist and was able to identify it as his bike. He notified the police and they agreed to have an undercover cop go with him when he went to see the seller. Luckily, he had the bill of sale with serial# which let them verify it was his stolen bike. The seller, and likely the thief, claimed he had found the bike, but was arrested anyway for possession of stolen property. It was indeed a rare but fortunate set of circumstances.
While you're saving for another quality bike, you might try checking Craigslist, Facebook Marketplace and eBay. It's possible the thief may try and sell the bike for $$. Small chance you can recover it, but it's worth a try.