Kerri, it sounds like you have sleep apnoea. Especially if you are in the overweight range ( like me ). You should be able to be referred to a sleep clinic for this . A CPAP machine will sort this out for you and reduce the other risks associated with sleep apnoea like an Atrial Fibrillation ( heart Arrhythmia).
If you are only noticing the wheezing while you have the chest infections I would be talking to the Dr , maybe a simple Salbutamol inhaler will fix this. Of course it could be as simple as secretions vibrating in the upper trachea and a good cough will clear this.
Probably not much help, but I am thinking of you,
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!