I use water rinse instead of acid stop for printing, but it does need to be a good rinse. If you don't have enough water, you could try a quite dilute acetic acid stop, maybe 1/4 normal strength. It will become exhausted rather quickly, but it might be a useful middle of the road position. The small amount of acid carried over into the fixer would have minimal impact on its health and capacity, but I suppose it would depend on how much use you want to get out of your fixer.
It is said that incompletely rinsed developing agents in the paper can contine to develop in an alkaline fixer. For this reason, I think that a neutral fixer could be safer than a quite alkaline one. I think I have read that TF-4 is rather less alkaline than the public formula TF-3. I use a neutral fixer made primarily for colour work (Agfa FX-Universal) and Kodak make one similar. They are cheap.
Alkaline stop baths are mentioned in one of Troop's books, but they are quite esoteric. I've not heard of anyone actually using one.