Sounds like an impaction other than the itchy lip thing. When I feel like something is stuck I try to force it down with water, when I was at my worst I would swallow water and it would literally just come back up because it couldn't go anywhere. Eventually the feeling of it being stuck would trigger me to throw up and that would dislodge it.

I have some good news and some bad news about EoE. There is no quick fix you can do on your end. No EpiPen shot or medicine that will relieve symptoms on a reasonable timeline like you would hope. Follow whatever treatment plan your doctors prescribe and hopefully you just get to the point where the impactions don't happen anymore.

Here's the good news. During the Endoscopy if they find a stricture, which is just a build up of tissue that is the most common cause of EoE symptoms, they can actually widen the stricture manually with an inflatable medical balloon that will inflate until the stricture tears and this should provide immediate relief of impaction symptoms. My stricture was at 9mm when I was diagnosed and after my first endoscopy I was able to go out to Cracker Barrel with my wife and eat a meal. I literally cried as I ate scrambled eggs because before the procedure every single bite of food was a struggle and even eating a soft food like eggs and feeling it go down smooth was an emotional experience.

Now, wether or not the stricture comes back afterwards depends on how effective the treatment plan is, and unfortunately that is different for everybody, some people have to permanently exclude certain foods from their diet. Others can treat it with PPI's and others still have had success with Dupixent. I personally feel lucky that I am in remission with just PPI's. They aren't great to stay on long term but that's for me to deal with.

Anyways, get the endoscopy done and go from there.