After debating on some solutions to the hitch interference (thanks all for the suggestions!), I went ahead and bought a bulldog hitch, since it doesn't have a top latch and will save me from making changes to suspension or the neck itself. So that came in today and man, it's beefy. I know these aer generally for heavy-duty trailers but it probably weighs twice what the other hitch weighs. If you don't know, the bulldog basically has the side of the "cup" open to let the ball in when you slide back a spring-loaded collar. Then once the ball is in, you close the cup and the collar pops back over it (with a bin behind to keep it from opening). Maybe this just needs some break-in (or lubrication) but it took a good amount of strength to get the collar all the way back to clear the cup's lip. Not a big deal since not like the trailer is going on and off frequently, but definitely a bit cumbersome.
Also, bulldogs are generally weld-on (for HD applications) but in order to leave my options open in the future I decided to drill it to be bolt-on. Took a lot of measuring to try to make the holes in the same place as the frame
Holes lined up and bolted on
And painted it black, since the gray is ugly. I found it amusing that Bulldog puts some contact paper over their big sticker that says "remove after painting" - like they want to make damn sure their sticker is still visible after your dumb-ass paints over it, lol.