It looks like you have enough room to squeeze a 90 x 90mm Merbau post in there. It can be Dynabolted onto the bricks or preferably attached via threaded rod which has been glued into the brick with Chemset. The post will then be attached with washers and nuts. It's best to do a chemical fixing when you're that close to the edge, as it avoids the bricks cracking.
I'd recommend a substantial concrete footer with a Pryda Post Anchor High Wind 600 x 90mm M12 embedded into it for the freestanding post. To get the post square with the house, you can either use a long piece of straight timber run off the face of the wall, or my preference would be a laser level.