I have a wrap around patio outside my house?

You are probably going to need a building permit. I suggest you contact the ahj (agency having jurisdiction - the city or county that will give you the building permit) Many of them have suggested designs that don't need engineering for your local soil profile and climate for things like patio covers. It really depends if you are building next to an ocean or in the mountains or in the middle of a city as to what your design looks like. If the ahj can't help, you will need to hire a professional.

Hi I am not sure if a doghouse would protect him from heat although it would keep him out of sunlight. The temp in the dog house may get too high. Perhaps a big sun umbrella would be better with a hose to cool him down. He would probably be best in doors to be honest. Apart from the heat there are bugs that will just irritate him especially flies. Have him out a couple of times under the umbrella but I really think for his sake he should be indoors. Dogs can get heat stroke that comes on really quickly and can blind, paralyse or even kill

There are too many unknown details to make good recommendations sight unseen. Your question has to be answered by someone who can look over the actual site and see specifically what you are trying to do.