I’m looking for an easy, one woman, idea for a bbq gazebo type cover

I would recommend starting with a metal (usually anodized or powder coated aluminum or steel) gazebo.. I have seen them anywhere from $150 up (Walmart, Home Depot, Lowe's, Target, etc) some are specially made for going over a BBQ and have side counters.... Use the fabric cover supplied until it dies.. then replace with a sheet of Rippled Fiberglas (Home Depot or Lowe's in the building materials dept... have them cut it to length) attach to the top of the pergola with the wood trim strips made for the rippled sheets (which come in clear, frosted, white or green, etc. ) and self tapping screws with the rubber grommet)

You can also "weave" canvas panels into the structure of the pergola... they will move let the wind pass and still provide shade... see Pinterest.com for ideas... make sure that your pergola is secured to the ground with long (10 to 12 in nail/stakes ..hardware dept) or the wind will blow it over (we live in Phoenix... and it gets windy here too)

If your are using the cover just for shade and not rain.... Home Depot and Lowe's sell Shade Cloth in the garden dept... the wind goes right thru.. we use it for lots of things on our ranch.

i just did a search at Walmart... and found several for under $200 choose one with a basic shape so you can replace the roof easily when the canvas has worn out

Whatever you build will have to be anchored to the ground, but how about a structure using vinyl lattice panels, which are sold in Home Depot, Lowe's etc.? They would provide some shelter, but are lightweight and wouldn't need to be painted.

A pergola with metal roofing would stand up to the winds, etc. You will probably need more tools than a drill, but you can rent what you need. Look at Ana White's website for free plans and easy tutorials. She's awesome! http://www.ana-white.com/

I have one that I purchased from Aldies and the metal structure that holds the canopy is so sturdy that the canvas cover actually has stayed put with no problem through some really windy storms that we have throughout the spring, summer and fall. I take it down for the winter here due to the snow that will turn into ice that gets so heavy. I leave the whole frame up year round. Oldies one is reasonably priced and they sell replacement covers for all their items that have them.

Here are some ideas, but you may need a saw to go with your drill

http://theselfsufficientliving.com/10-wood-shed-plans-to-keep-firewood-diy/