The courthouse and magistrate part sounds kind of unappealing, though, so I wanted to find out if anyone here has been in a similar situation, and if so, how and where you got married. In other places where I've lived, there were non-religious wedding chapels where you could simply go and get married for a pretty low price and without much hassle, but I can't seem to find anything like that here. The big caveat is that we absolutely don't want whatever place we get married to be affiliated with a church in any way. We also aren't terribly interested in paying hundreds of dollars to someone who is ordained by an online organization.
So anyway, I'd love to hear advice from anyone who has also gotten married in a "we just want to do the paperwork" kind of way, whether that is advice on the nicest or lowest-hassle courthouse in the area, or advice on a wedding chapel or related type of situation I may have just missed. Thanks in advance for any advice!