Is there an alternative to furosemide, that would control edema etc in cingestive heart failure, without the pressing need to urinate?

Not really. There are alternative diuretics, but all will result in increased urination. You can possibly reduce your body's need for a diuretic by significantly reducing your salt intake, and elevating you legs during the day anytime you are not up and moving around.
Diuretics and CHF. The major problem in patients with congestive heart failure (CHF) is they have too much fluid in their bodies. Furosemide (f) is a drug that allows the kidneys to eliminate more water and thus reduce the elevated fluid level patients with CHF have. Ask your doctor to see if you can be placed on therapies, like ace-i's along with f to help improve your CHF and reduce the dose of f you taking.