Sounds like you have already convinced yourself the answer is probably yes.
You could also have a high sensitivity to dust mites. Talking to an allergist could help you narrow down what specifically bothers you. Allergy tests aren’t that big of a deal to have done.
Before trying to rehome the dog, do your best to make your bedroom a dog free zone. Keep the door closed and don’t let her on your bed. Shower before bed and don’t touch your dog between showering and getting in bed. Wash your bedding often. Don’t ever sitnon or get in your bed in clothes that have been around your dog or on furniture your dog is allowed to lay on. An air filter can help, but is limited in what they can actually accomplish. Filters can help with dust that comes in through your hvac vents, but any sources of allergens in your room will easily produce irritants at a much greater rate than a filter can capture them.
I’ll avoid specific medical recommendations, but I will list a few things worth checking out. Non-steroidal nasal sprays could help your sleep. Nasacort was the one recommended to me by a doctor. One lesson I had to learn with that is to not use it right before laying down. You need to give it time to drain. It does bother my stomach a bit, so timing it with a meal or snack can help. Pataday and opcon-a drops have both been helpful for me. Opcon-a does cause a temporary burning sensation. I would recommend starting with lower dose twice a day variants The extra strength stuff also hurts my stomach. (your eyes and sinuses drain down your throat.) Eye drops and nasal sprays are more targeted than tablet antihistamines so they can be a little more effective.
You might want to ask your doctor about a sleep study. In my unprofessional opinion, I would suspect you are experiencing apnea.
If you have a polyfill pillow, try switching to foam, or better yet buckwheat. Polyfill is a dust sponge. Every time you toss and turn it will release a cloud of dust right by your face.
You’ve lived this long with your dog, so it’s worth trying to find ways of improving your sleep hygeine and symptom management before jumping straight to no dogs. Although, a no puppies after this dog rule could be warranted.
As far as not having some of the symptoms you think should be present, chronic exposure vs acute exposure can have different reactions. If you are always mildly reacting to your dog, then you won’t experience some of the acute responses. (Again, not a professional)
Those are good addendums, but I’ll add one more qualifier to your nasal rinse suggestion. Never use tap water. Use only distilled water or water that has been boiled. Pharmacies also sell aerosol cans with saline solution, which is what I use for the convenience factor. Then you don’t have to worry as much about sanitized water and mixing up a solution. Saline rinses should also have at least half an hour of being upright before laying down. Don’t do a rinse then immediately lay in bed.
If budget isn’t tight, all bedding including the allergy covers benefits from getting in duplicate so you can take your time with the laundry. I was a lot worse about washing bedding when remembering late in the day meant there wouldn’t be enough time to wash and dry before bedtime.