Ask HN: What did you do when a employer rejected a raise?

I asked my boss for a raise today and he rejected it. It's a bit overdue and I'm paid slightly below market.

I could probably find a new better paid job in a few weeks, but I don't really want to quit, the team is nice, I kinda like this work environment, it's a full remote gig with decent hours.

I've been thinking about interviewing for jobs that I don't plan on getting, just to get a better offer and force my boss hand, does that sound like a decent idea?

What do you usually do in this kind of situation?