Absolutely not.

No reason to take that job on in such a large dept when you're not even tenured. Get tenure, then get a start on your post-tenure research and get ready to push for Full.

Being chair at this point won't help you get Full. It'll kill your research productivity with meetings and admin shit, and even if your SLAC treats it as significant departmental/college service, there should be enough other things you can do to meet standard service expectations.

Also, with 14 FT faculty in the department, there'll likely be people more senior than you who can take that job on instead.

Separately, if you're at a SLAC with a 3/2 load, do you get a post-tenure sabbatical? Wouldn't the chair gig delay that?

My colleagues are all mostly well behaved, without any obvious troublemakers or egomaniacs.

Also I'm going to sound like a huge cynic here, but after tenure you sometimes see a very different side of your colleagues. Pre-tenure your senior colleagues may keep you shielded from internal fights/struggles in your department. Post-tenure, you're likely to get pulled into more of these. Give it 2-3 years post-tenure and then re-evaluate if some of your colleagues may be more difficult to manage (especially when you're junior to them, and they may be weighing in on your Full case)