Given the facts as stated by the OP, by definition that just ain't the case in this case.
If I were the instructor I would want a signed medical release from the OP's physician, even if he indicated "NO" on every question. In fact I would ask the OP to ensure the physician specifically initialed the sections on cardiovascular and metabolic diseases so that I could be sure that the physician actually read them.
If I was the OP's physician I'm pretty sure I'm not going to sign the release without a treadmill stress test and a full metabolic workup. Then I'm pretty sure I'm not going to be able to sign the form because it is quite literally impossible for a person who is 440lbs to present without detectable cardiovascular disease and/or a metabolic disorder - impaired glucose tolerance if not frank diabetes. The stress that morbid obesity places on the CV/MET systems is well known, and I'd have a tough time checking the box next to "I find no medical conditions that I consider incompatible with diving."
"Dr RJP, please explain to the jury and the family of the deceased why, despite incontrovertible evidence to the contrary, you cleared bigtim6656 for diving..."
Here's the PADI form, and I'm sure every other agency's is similar. Particularly note the sections on cardiovascular and metabolic disease:
http://www.padi.com/english/common/courses/forms/pdf/10063-Ver2-0.pdf
Tim - have you discussed your weight with the instructor/shop you'll be doing your course with? I'd hate for you to get down there and they turn you away at the last minute. Have you talked to your physician about scuba diving? You're looking at buying a lot of gear apparently - some of it custom - and I'd hate to see you do that and then not be able to use it.
Tim, this post is not "negativity" about your weight. It's about being prudent about your safety.