Jonelle, I know this is a difficult problem for you both.
But if his Epiglottis does not close he will aspirate into his lungs. A not pleasant experience with lots of coughing. The lungs are not keen on either food or fluid.
Surely his medical team have discussed this with you both and referred him to someone who can help. I think you need to make some noise about this. Maybe your medical team aren't too bothered as it doesn't affect them.
I don't know if surgery would help but you do need a referral to someone with expertise in this problem.
I also want to say that if, and it's a big if, this is permanent , there are many others who do live life without " normal " eating. We are one of them.
Anyway, make some noise and demand answers. There is a long way to go before giving up. Best of luck,
Tammy

Caregiver/advocate to Husband Kris age 59@ diagnosis
DX Dec '10 SCC BOT T4aN2bM0 HPV+ve.Cisplatin x3 35 IMRT.
PET 6/11 clear.
R) level 2-4 neck dissection 8/1/11 to remove residual node - necrotic with NED
Feb '12 Ca back.. 3/8/12 total glossectomy/laryngectomy/bilat neck dissection/partial pharyngectomy etc. clear margins. All nodes negative for disease. PEG in.
March 2017 - 5 years disease free. Woohoo!