If you do have sinusitis then it's probably lodged in the sphenoid or frontal sinuses, and it could possibly (I will only say possibly, not probably) be messing with your nerves to the eyelids due to inflammation.
I agree with angelica's comment about the ophthamologist.
A Neilmed or Hydropulse are both excellent irrigation devices, but the Neilmed won't reach the upper sinuses (says so on the box) due to gravity, and I don't know about the Hydropulse, for the same reason. The Flip-Turn Sinus Flush will reach the upper sinuses, because it uses gravity rather than fights it
http://www.medhelp.org/user_journals/show/2322
The Flip-Turn Sinus Flush is mildly risky, because you have to bend over to do it, preferably in a shower, but you can also do it outside on soft ground.
There's a new instruction that i haven't added yet: After a completing the flush, look straight up, in the shower, or lay on your back after you get out of the shower, to aid drainage. If you get rid of the infection, your deviated septum surgery will be easier. Good luck.