They sell these DOAN'S PILLS kind of thing in any drugstore and variants of the same in every health food store. They are SLIGHTLY diuretic and quite expensive. They rely on a melange of herbals with diuretic properties. Hydrangea, dandelion, something caled buchu, couchgrass, uva ursi, horsetail...many herbs work like this.
HCTZ costs pennies a pill and works much better.
Your new doctor WILL agree that it's a good place to start and if ou arm yourself with a couple printouts from any search involving "FDA recommendation +hypertension" or wording to that effect you can make your doctor COWER in fear at your knowledge
Just tossing the some vague reference to the fact that the FDA has found that diuretics and beta blockers work BETTER than any other classes of drugs and that doctors are only prescribing the others because they are being BRIBED (choose a kinder word, induced?) by drug companies to do so oughtta get you a bottle of thiazides.
Psst, ask for 11 renewals on that Rx!
(Oh yeah, always throw in something like "Doctor, sometimes my ankles and fingers seem SOOOO puffy, what can that be?" )