I found a couple on ebay. Not cheap nor your exact version:

chevy aveo shop manual | eBay

I would try and get used engine and close as your year and model. Then start removing "stuff" in the way until you can lift the engine. Use a camera and take lots of before and after pictures. I usually buy the glad freezer bags with the white on them so you can write down the subsections. Throw all those subsection nuts/bolts in those baggies.

There are plenty of guys here who have done this. I am not sure if they had a manual or not.