Yeah seems reasonable, nothing wrong with going through a recruiter, it can just be harder to find the interesting work as recruiters. But a good recruiter is definitely a useful thing to have and it can’t hurt to reach out, if just to get a sense of the market. It can also be worth emailing companies you’d like to work with (e.g. interesting or nearby) with a quick note offering your services. Even if they aren’t hiring permanent sometimes there’s budget for a contractor.
Would you then use a recruiter or something like that? I don’t think I would get any gigs using my network.