If you protect the threads on your stub axle with a nut, you should be able to knock it out of your bearings. Maybe some Loctite got on the stub axle where the bearing seat or maybe the bearings were seated with Loctite and it's a bit harder to break it loose then it might otherwise be. There is nothing else that could be holding the stub axle in the housing.
It wouldn't be a bad idea to disconnect the brake line at the pivot of the radius arm. Don't cut it! It's not easy to get at but it's not as hard as it looks. With the radius arm off, you can support it on something solid and give it some good whacks to break it free.
Or you should be able to find a puller (or pusher
) at a car parts store that will work. The puller you've used is probably too small. For example, the Advance Auto Parts near me keeps a stock of tools. It has a deal where you buy the tool, you use it and when you return it, you get your money back. A good puller and an impact wrench should break it free too. It would be an excellent idea to protect your threads with the nut when using the puller!
If it's still stuck, you'll have to take it to get pressed off. I would consider that only when it's obvious that the previous methods fail. They should work so you should need to get this far.
Good luck!