Sources close to the rap icon/reality TV star tell TMZ ... Flav and his camp were contacted by a Southwest honcho after they got wind of his Las Vegas airport rant after missing a Spirit flight.

We're told the exec is a friend of someone on Flav's team, and made him an offer you'd think he simply can't refuse -- flying for free with Southwest whenever he wants.

TMZ broke the story ... the Public Enemy rapper lost his cool, when he was denied entry to his Spirit flight. He claimed the agent shut the door in his face, setting off a heated back and forth.

Spirit investigated the incident and decided the customer was right -- the airline refunded FF and upgraded him to "Gold", its highest frequent flier tier.

Now that the dust has settled, Flav's got options! A rep tells us he's getting an outpouring of love from flight attendants with several airlines -- including Delta and American. Southwest even sweetened the pot, throwing in a buddy pass to go with his free ride.

Flav has a good history with Southwest -- he played honorary flight attendant during a past flight into Vegas -- so, maybe the airline is in the driver's seat for his business.