Oh Mary, I am so sorry to hear this news. I hear your absolute frustration. I would be inclined to let the team know when you next see them. It's just time wasted.
However, you can't change things now.
As we don't live in the USA I can't really comment on the CT v PET.
I think what you are going through is very hard and I'm sure that I too would want to scream - and cry. It is so difficult to be the Caregiver and have to hold everything together for the Family. Just continue to love and encourage your Husband and continue to present a positive facade. Come and scream here, we understand.
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!