Our old house didn't have any outside outlets or garage to set up a cooking area. I've always wanted one though! Here in our rental there's an outlet on the deck so I've been cooking in the crock pot out there. I have a vintage Rival gold baking insert for my large crock and yes, you can bake in it! I've used it so far for quick breads, cakes and brownies. I use a little less moisture that the recipe calls for and cook on high for 3X the usual oven time. I paid $12 for mine on Ebay, shipped.
My ideal outdoor set up would be a counter with sink, an icebox under, and 2 double outlets so I could use my electric grill or griddle out there as well. This area would most likely be on a covered porch or deck. Then I'd want a real campground iron firepit out in the yard. I love cooking over a real wood fire! I have a nice selection of seasoned cast iron for that purpose as well. The things you can make with a dutch oven and slow coals are mind boggling. Throw in a comfy patio set for the adults and a picnic table for the kids, a vintage sprinkler, a couple hammocks, a hot tub and a compost toilet outhouse and I don't think I'd come inside the house all summer. :)
An idea for the pizza might be to make a month's worth of crusts, bake and freeze them. Then instead of 20-25 minutes in the oven to cook, it should take more like 15 and you could probably use the preheat time. I make 4 medium pizzas every Friday night and it is not a pleasant task in the summer. :/ I've been mulling the idea of pre-baking crusts but I can't figure a way to wrap the crusts economically unless I made a bunch of small rounds and use gallon baggies. And then I run into more time to roll, bake and package little circles. The mediums are so quick to make. *sigh*
I've seen some awesome solar cookers. I'm making a homemade one this summer to try out. That could be an option for pizza if you make it big enough.