I think your best bet will be using hand driven staples if easy is the priority.
I have a great collection of pneumatic staplers, pin nailes etc but they may create a bow where the fastener meets the wire fencing.
Then you have to hammer them in by hand which could loosen up the original shot.
If durability is priority, then you could use a product from Big Heel that is aluminum and coated torx screws that will have better adhesion over time and wind or load strain.
https://bigheelfasteners.com/fasteners/
What kind of PT are you using to frame it to or is it already in place?
Scott