What would be the best wireless outdoor security camera for my needs?

Wireless cameras are most often a better option when compared to a wired camera, and as you have mentioned, the architechture of your house is more suitable to wireless ones,

here is some of the options you can consider as your wireless cctv camera

1. Lorex LIVE ; the security camera may cost you around $250 and is the best in its range with its heat detection and motion sensor abilities, it serves automatically and you are not needed to be looking at the screen all the time.

2. Swann SW231-WCX : if you are going for an economy model, this security camera can be available to you for just around $50.

3. LTS LTCMW802F ; This one is another good option available for around $50, the advantage with this one is its night mode and its being moisture resistant, so you can just fix and forget it.