Sorry to hear about your dog and hope he/she is alot better now. Cleo has had an xray of the bladder and there aren't any big stones thankfully so the Hills S/D diet is working and hopefully we will be able to change her to C/D diet that is a preventative diet as I understand that they cannot stay on S/D diet for too long. I also have Cleo on Denes herbal kidney tablets which are supposed to help bladder stones, my vet has said he does not have a problem with me giving these to Cleo. I have only just started giving her these so not sure about whether they will help or not.
I thought that it was better that she drinks a bit more than normal and I am pretty sure the S.D diet is designed to make them drink more, however vets don't always give you all the information and just give you the medication to resolve the illness.
Thanks for you advise and hope your doggie gets better soon