Good for you two being and staying proactive. Hate to hear this. Been through something kind of like this. A pill head/heroin junky couple busted my car window out and stole my wife's purse hidden under the front seat while on vacation with our kids. 2 credit cards and a check card were used to buy gift cards and fuel within 10min of theft. Worse yet, the entire contents of the wife's purse ($250 cash, driver's license, work keys, spare car key/house keys, ect) and the high dollar purse itself gone. Crying wife, crying kids, and a vacation cut short. I can't tell you how many trash cans and dumpsters I dug through, the amount of pawn shops I called in a 50 mile radius, and walked about 15 miles of a mountain road to no avail.
Few months later the dope head dirtbags were caught by sheer luck. After hitting another car a guy mountain biking with a GoPro caught them on film. Being this occurred in a national forest area they got to take a ride to federal prison. About 8 months later a vagrant picking up aluminum cans found the purse over an embankment and turned it in to a visitors center with contents intact minus the cash, cards, and drivers license. We sent him a thank you card with a reward included for being a decent human being.
I know it doesn't prevent ID theft real time but get on credit karma and check it monthly to ensure no new accounts are being opened in your name. Did you ask your bank if they offer free short term credit monitoring? I would also suggest calling the police. What could it hurt. Depending on how your local law enforcement is, maybe start there and they may be nice enough to call on your behalf and at least get you a foot in the door to that office. Best wishes.