The excess urination and hunger are symptoms of unregulated diabetes. If you get her blood glucose under control, those will improve.
I truly believe she will do much better on a different insulin like Lantus. If you can't afford the $170 to get the 5 pack of pens from Canada (keep in mind these will last you
a year or more, you won't be spending that much every month), you can order a single pen to get started--it's not as good a deal as getting the 5 pack, but it's a lower up front cost ($70 after shipping, I think?). A single pen will last you 2-3 months. Changing to Lantus will be less expensive for you in both the short and long term. Most cats on Lantus and a low carb, canned diet do not end up needing much more than 1-2 units of insulin. The highest Bandit's insulin dose ever was (and this was when was on steroids) was 1.5u, but typically he needed around 1u or less.
My cats eat every 6 hours, and I freeze portions of canned food and set them out in
auto-feeders for when I'm at work or sleeping. If your cat won't sit and gnaw at the frozen chunk of of food like mine will, you can just leave that out over night. Or you can free-feed canned--I have a few friends that do this. They put out multiple bowls of canned food at night with a little water added, and their cats munch away at it whenever they feel hungry.
I would like to see the research that your vet pulled up, because 14-28 units is not a typical dose in a cat unless it has a high dose condition like acromegaly. I don't see any evidence that this is the case with your cat based on what you've described, but if your vet is suspecting a high dose condition there are tests for those. Bandit currently sees an internal medicine specialist at Cornell and their treatment recommendations for diabetics are exactly the same as here on FDMB--low carb, canned diet, Lantus or Levemir insulin, and gradual dose adjustments via daily home testing. I believe Cornell will consult with other vets for free, so you could ask your vet to contact them if he needs more information. The veterinary library at Cornell is also wonderful and I'm sure would be happy to provide information for him.
I understand that you're tired and exhausted (especially when you see your kitty getting worse!), but would you be willing to try out the recommended treatment for cats before you give up? It's not going to put you in a worse position than you are now. All you would need to do is get the script for the Lantus (which will be cheaper than the PZI even if you order 1 pen at a time from Canada), and get rid of the dry food. I've also attached an article on treatment of cats with Lantus for you to print and bring to your vet--it discusses diet and dosing details with Lantus. Bandit has been diabetic for 7 years now, and he's still doing great. The right treatment path makes a
huge difference--literally the difference between life and death. You can do this--that's not just me being optimistic, I've seen diabetic cats in terrible condition fully recover once they start on the right treatment path. I helped treat a friend's diabetic cat that was unregulated, wasting away, and suffering from diabetic neuropathy so badly that he couldn't walk--her vet had him on the wrong food (dry prescription), insulin (Novolin), and she wasn't home testing for about a year. She changed the diet (Friskies canned), the insulin (Lantus), and started home testing. 6 months later he had nearly fully recovered from his neuropathy and was healthy and in remission. It's definitely worth it to try, in my opinion.