Have you gotten a diagnosis for your Dalmation? If so, please let me know what it is and how to cure it. My lab is having the same symptoms and we do not know what is going on. She has been hospitalized, and it looks like she will have to go back in again.
i cant give you advice on what is wrong with her, but if shes not eating, and is drinking, give her full cream cows milk, that will keep her strong and healthy.
A high white blood cell count most likely signifies some kind of infection. If your vet cannot suggest anything, or some course of treatment, you might think of getting a second opinion. It's strange that a course of antibiotics wasn't suggested. I can understand if the vet isn't yet sure what kind of infection may be going on, but it might be worth trying an antibiotic anyway at this stage, before further diagnostic procedures.
I'm sorry because I can't think immediately what this could be.
You could try asking one of the vets here? (At the top of the page under the big banner ad, hover on "Pets" (next to "my medhelp") then click on "Ask a Veterinarian"
Would you also describe her stomach as feeling tight? When I read this the first thing that popped into my head was bloat. Bloat in dogs can be very serious but immediate medical attention can get her well on her way to getting better.