When I did mine I made a bracket for it.
I started to use the brackets that I see you used for you brake lines, but bent it up too much and had to start over. I also made brackets to hold the brake lines just as you did. It seems no one has exactly what these little strips are for. This is what I think it is really for as its the right size (or close) depending on who you got it from
Take a 4 inch x 1 inch piece of 3/16 steel or so.
Drill a 5/8 hole as close as possible to the end of it, leaving about 3/16 material.
On the other side drill a 1 size up from 3/8 hole See Picture 1
Bend the bracket similar to the picture. It is almost totaling 90 degrees with about 20 degrees on the 3/8ish hold and the rest on the big hole this allows the parking brake to pull straight down. See Picture 2
Mount the bracket with the large hole facing down, run your parking brake cable through this hole, it should "snap" in to the 5/8 hole into the plate without issue. Make sure you cut off about 1 inch of the Spring on the parking brake, pull the spring down and thread the nut between the 2 fingers of the e-brake bracket. (See Picture 3)
I had to take the passenger brake cable to use it for the driver side and got a new cable for the passenger side I had to shorten this new cable about 1.25 inches to make the brake engage super good. That was just a 3/16 all thread coupling nut hammered flat to be the "stop"
take about 1 inch off of the parking brake spring (I had to cut mine about 10 differnt places to get the spring steel off)
If you need more pics than this let me know.