Maybe I missed something, but what does Drake do in ordinary life? Maybe S.H.U.S.H finance him?
Drake Mallard has no occupation outside of Darkwing Duck and he receives payment for it from SHUSH.
Darkwing also sometimes lends his special talents to the ultra-secret intelligence organization known as SHUSH, which provides him with a sizable paycheck and the latest crimefighting technology.
However, in the new DuckTales series:
This incarnation of Darkwing is the fictional star of a superhero television show, instead of someone who actually exists in the show's universe. He is played by an actor named Jim Starling, who is known for performing his own stunts.
However, the showrunner of DuckTales hinted at Darkwing existing as a real character within the show's universe, with the "show-within-a-show" being a fictional depiction of the real Darkwing's exploits. This is supported by the fact that F.O.W.L. and S.H.U.S.H. and the city of St. Canard all exist in the show's universe.