If it was me, I'd practice swallowing much more than chewing. This is a "skill" I've developed just by working out my whole life. But I have a very weird ability to swallow small handfuls of dry vitamins all at once. Like when I wake up in the morning. I grab 2 vitamin c, 3 l-tyrosine, 2 vitamin b-6 & 1 l-taurine. That's 6 giant pills and 2 smaller ones.... combined it's like swallowing a golf ball, but all I do is "jerk" my neck and shake them down.
Better yet, if I was you I'd start watching some NatGeo videos. Find the ones where flamingos and geese swallow fish whole... with the spines and everything. These fish are like 10xs bigger than their throat, but they shake and jerk so fast that gravity forces it down into their stomach.
That's exactly what I'd do. Flop your head like a flamingo and just swallow those things whole.