Welcome to the Badger and Blade and you truly are a lucky husband! Take care and enjoy the ride!
"I still need the soothing relief that only alcohol seems to provide"
Me too! Oh, you probably mean after shaving... never mind
It's much better to _avoid_ razor burn, than to _treat_ razor burn. Suggestions (pick either of 1 or 2, not both):
2. Put some hair conditioner -- "silky" or "smooth", not "extra body" -- on your beard a few minutes before lathering. Astroglide or silicone-based personal lubricant also works.