I'm concerned that she is choking every time she drinks. Has she been checked for mega esophagus? That is one of the primary symptoms. A normal dog will not choke on water. Drinking large amounts of water could mean other problems as well. I'd get her checked out at your vet and ask for a complete blood panel and urinalysis to see if she is concentrating urine appropriately.
I also agree with Lisa that I would not limit her access to water.
I also agree with Lisa that I would not limit her access to water.