Okay, I got the fuel line off OK. I was 90% of the way there already but I had to reposition the wrenches to get more leverage and the thing unscrewed without too much effort. The float looked fine but I sprayed out the whole bowl assembly anyhow, and re-sprayed the needle and seat assembly.
I got it back together and it wasn't idling right. Go figure.
I found this video that covers some tuning basics of this kind of carb:
https://www.youtube.com/watch?v=70hhpX2tfsE . I had to adjust the front idle mixture screws. They were out about 1/2 turn and I brought them out to 1 1/2 turns. The bowl level was high, so I had to screw the needle/seat assembly down a few turns. The accelerator pump and pump arm clearance was wrong, which makes sense because I thought I had to remove that screw to get the front bowl off. According to this video, there's supposed to be .0014 clearance here which seems pretty picky. I was able to get it somewhere in there.
During all of the adjustments I didn't have any fuel delivery problems, but it needs to sit overnight and I'll know if it's sticking again or not. I also worry that I'm going to need to rebuild the carburetor because I suspect the engine may still not be running right after a test drive. Who knows if there's a vacuum leak somewhere.