OTOH, a fast rotating beach umbrella or parasol  or
a very large mushroom, might do it.  :-)
 
http://www.beachstore.com/SearchResult.aspx?CategoryID=21
Along with Rick Monteverde's suggestion that a Frisbee's spin effects
lift, I propose a lightweight, inflatable "dish"  or hemisphere about 8 feet
in diameter as a do-it-yourself flying "saucer". 
 
If you kept one of those 1950s Hoola Hoops, some strap webbing
going to a hub in the center will keep the inflated dome-shaped plastic
film  flat on the bottom and provide a place to attach the drive shaft
powered by the gas engine from a weed whacker.
 
The NASA simulator gives the lift for a rotating cylinder  with means for
varying the diameter, length and rpm vs air speed  etc., which should give a figure for
lift on the dish based on the Coanda Effect.
 
FJS
 
A Lucid explanation of the Coanda Effect:
 
 
 
NASA Flight Simulator:
 
 
Input: Shape/Angle
 
Airfoil Shape: airfoil, ellipse; plate, cylinder, ball
 
Size: Spin Rpm (+/-),  Radius Ft, Span ft,
 
Flight Test. -720 rpm  5 ft long x 8 inch dia in 60 mph wind ~  -45 lbs lift.  

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