Tall men I think you have a good point about the salt. As my rub has a fair shot of the white death I might just pass on the brine
Do you have Black Pepper, Garlic Powder (granulated preferred), and Onion Powder on hand?
If so feel free to season your chicken with those after brining and patting dry. Just don't add salt.
If you've never tried the magic of Salt, Pepper, Onion Powder (or deydrated onion), and Garlic Powder (or granulated) on burgers, chicken, pork chops, etc. then you are truly missing out my friend. The salt will come from the brine to make the big combo complete.
SPOG is basically all the seasoning you need vs buying or making some complicated "rubs".
You can then take SPOG any way you like as long as it's your foundation. I add Paprika or Chili Powder, or Basil and Oregano, or whatever other seasonings I need to take it to different places whether I need Mexican flavor, Cajun flavor, Italian flavor, or Montreal Stack seasoning'ish flavor, etc. It all starts with the SPOG and then goes from there.
I highly recommend you give the SPOG a shot where the salt is from your brine. Chicken is inexpensive and if you are doing quarters you can take a couple and brine + POG, take a couple and just SPOG dry season no brine, and take another couple and go another route.
Let us know what you do and I look forward to the pics. Best of luck :)