^Well, I do it slightly differently. I put undiluted white vinegar on my hair before I shampoo (let it settle there first ) while I soap my body. The vinegar stays on my head for maybe 2-3 minutes. Than I top it off with a little shampoo, and rinse that out. I do this twice if the smell really bothers me. Than I put conditioner. (I have very very thick, unmanageable hair...not using conditioner will be the death of me. ) I dont use it as a "final" rinse in that aspect, but it still works, and does wonders for my hair. So you can try that !
This might be a bit strong for you, so you can opt to try using diluted vinegar in water as a FINAL rinse.
In my experience, there is always a smell after I do it my style, but its not that bothersome.
Using diluted vinegar will probably mean very little smell after.