The 48-year-old Armour, a two-time winner on the PGA Tour, had a 16-under 272 total in the event that features both male and female players.
Black shot a 68, and Mediate had a 67.
Armour earned $60,000 from the $300,000 purse.
'I just played good all week and never had a three-putt,' said Armour, whose last tournament win was the 2003 Texas Open. 'I told myself this morning that I had to shoot 70 to win. I shot 70.'
Black won the tournament in 1995.
'I played a little nervous on the back nine,' Black said. 'I've only played five or six rounds in the last few years and I wasn't able to focus on a couple of holes like I should have.'
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