You have a problem, not an insurmountable one (provided you mean weed and not the resin for your drug offense) but a major problem nevertheless. The process will go something like this: apply for K1, certain denial, file 601 waiver, possible visa issuance. Expect it to take over a year. This is not a DIY case -- you need an experienced immigration attorney to evaluate your case and ALL the facts. Try Fong & Chun if you want a recommend.

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Undermine their pompous authority, reject their moral standards, make anarchy and disorder your trademarks. Cause as much chaos and disruption as possible but don’t let them take you ALIVE. - Sid Vicious