there will be plenty of advice in this group on options to remain in Thailand as the spouse of a Thai. One is visa based on marriage, with proof of 400,000 tbt in a Thai bank. And also a retirement visa but that requires 800,000 in your Thai bank.
you asked about getting a visa. That's done before you arrive. OR enter on the visa exempt ( no visa) for 60 days. Nothing's changed you can still do that. It's not a visa.
the big deal? If police stop him and detain him for overstay he'll be chucked in the clink. The BDC is not a place anyone would want to spend any time.