I wouldn't chase him around with anything, that's only going to stress him out and could further interfere with his breathing if he's already having trouble. I know some people have been successful in using tweezers to remove the blockage, but bettas are so small it could very well cause more harm than good.
I'm not sure if massaging it down will work, but if he's suffering, it might be worth using whatever means you can think of. One of my bettas unfortunately choked to death, and it has made me very conscious of the size of food I use. I hope your guy manages to pull through, I will have my fingers crossed for him.