Brief update: still interested in the property, seller just knocked it down another 30k, realtors haven't been willing to comment on a value. My partner will probably press them this week.
We've seen three other places in a two county radius that were definite "no's." One had obvious roof damage and water entry in the basement both marked as fine on the disclosure. The other was nicely situated but my partner said "well, first thing I'd do with the house would be burn it down." Both those are now under contract. Last one was a FSBO that was recently vacated by a tenant. Owner called us after the first offer fell through and we offered to rent for a year but didn't like it enough to buy. Haven't heard back on that. There was a fourth house we also really liked but it appeared to have a pretty serious boundary dispute with the neighbor and we weren't willing to get involved with that. That one is also under contract for over asking.
I'm looking for rentals too, but there aren't many. Far fewer that will allow dogs. In fact, Zillow shows two (2!) rentals in the county we really want to be in that say they allow larger dogs. (5 or 6 in the next county over) Both are far over what we're willing to pay for a rental. Craigslist and Facebook are... slightly more promising? I'm going to call property management companies directly too. But overall the housing market is discouraging. We've been tentatively looking since my partner moved in November and seriously since late winter, and there's just not much.
On the plus side, we're engaged now! Yay!