I haven't tried that yet but I definitely will. I slowed down a little while shaving today, lightened up the pressure (I had to look in the mirror to assure I was even removing lather) and worked on stretching the skin more taut. Although this didn't completely alleviate the problem, it did help. I have almost no irritation at all on my neck today.
For my next shave I'll throw in a couple of hot towel applications and maybe get the problem solved. Thanks everyone for the advice.