"Draw" certainly is a regional pronunciation of "drawer." Norm Abram, the host of the PBS TV show The New Yankee Workshop regularly says "draw"—and it comes up often, because his projects often involve building them.

He was born in Rhode Island and raised in Massachusetts.

I trust, though, that he knows the correct spelling is "drawer."

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My own pet peeve is the people who try to speak or imitate Elizabethan or Biblical (i.e. King James) speech by indiscriminately putting an "-eth" ending on every verb. You frequently hear this from "Renaissance Fair" re-enactors. They say things like, "I haveth a cold." Aaargh! Of course, they don't have a clue how to use "thee" and "thou" correctly, either, or the verbs that go with them, but that doesn't stop them from trying.

There used to be a comic strip in the Sunday St. Paul Pioneer Press, a sort of low-rent imitation of "Prince Valiant" but drawn in a style more like Japanese manga or anime. It had a swashbuckling knights-and-dragons theme, and to make the dialog sound quaint, they regularly committed this kind of atrocity.

I looked for an example online, but failed to find one.