I'd be less worried about your Chase accounts (which would likely be made good for any fraud) and more worried about what can be done with the information your wife gave out. With a name, social security number and address, a crook can open credit card and bank accounts in your name, file faudulent tax returns and get immediate refunds (with fake W2s that unfortunately take IRS 6 months to check), etc. etc.
It sounds like you've done everything you can to deal with that. (Including, I presume signing up for a high class identity and credit monitoring service despite the cost. For now, all you can do is be vigilant. If someone starts using the information, you may have to change your wife's social security number, maintain a high level fraud alert with your credit agencies, etc. As an ID fraud victim myself (info stolen/sold from a mortgage application) let me tell you it can be a real drag! Good luck!!!