As I read this, the OP isn't talking about shifting the front under load, since he's saying that while on the larger ring and shifting to a higher gear. So I read it as the chain dumping when he shifts the rear.

If I'm reading him right, it sounds more like a question of chain line, FD trim, or shift gates on the ring, so that when the sine wave that shifting causes comes up the chain, it dumps. I've seen this before, and it's hard to diagnose and cure.

One thing that might help is to look for a chain with more bellmouth, or inside chamfer on the inner plates, so they do a better job picking up the points of the teeth. This is the same advice I give people riding 1x systems, and it works. Chains keep changing and I don't keep up so I can't suggest any offhand, but the OP can eyeball the offerings and look for a likely candidate.

Another factor that might help is better lubrication. Obviously I have a bias, but lower friction between the chain plates and sides of the teeth will reduce the chance of the chain climbing up when there's more side pressure.

If the OP lives in the NY area, I'd be willing to take a look, or recommend a shop who might diagnose the issue.

Of course, if I'm reading the OP wrong and it's about shifting the front under load, that's a nono as the others posted. Even shifting the rear under load is risky, and the problem might go away with some refinement of shift technique.