Hi Phi
l spent a year at college studying sports turf and your problem was not mentioned, as sports turf is well managed and dogs generally do not get to pee on a sports area and if they do, its a "one off".
The way to combat dog pee scorch on a lawn is to manage the dog!!
By that I mean watch and therefore learn, when and where SHE is going to pee!! Dogs (MALE DOGS) dont pee on lawns unless they have nowhere else to pee!!
So Please have a bucket of water(or maybe a few) at the lawns edge and when the Bitch pees on the lawn then slowly pour the bucket of water on the place where she's peeeeed!!
It's as simple as that. The water neutralises the acid and't grass lives.
If you want a dog and you want a lawn and the dog's a bitch there is no alternative.
Chris