If I search for->thru a half doz volunteer sites, I tend to find usable opportunities.
Case in point: americorps.gov. Enter zip code; go to the results page. Distance is 20mi. Results: 1-4 are four states away, 5-6 are virtual, 6 is seven states away. 8-9 duplicate Exchange Student hosting. 10-11 are nearby and look like what I'd expect.
Volunteerism is trust-based and confusing me at step 1 isn't the best way there.
habitat.org. My zipcode yields HFH offices (not build locations). None in my county. I imagine there's an (reasonable!) onboarding process beyond a background check. There are HFH stores that are closer; they prob have volunteers. It's not obvious on this page that there's somewhere I can click to find a FAQ or a splainer about different opportunities.
volunteermatch.org. This seems more inviting+useful. My zipcode gets me 2 dozen nearby opportunities with locations, informative headlines and brief descriptions. All right on the results page.
These were from the top results of a Kagi search. There are quite a few beyond that that look worth clicking into.