Best way would be to just drill them, it does not take that long to do it right.
Why would use use 2 X 3's and not 2 X 4's?
Why would use use 2 X 3's and not 2 X 4's?
I disagree that running cables behind the studs and against a basement foundation is sloppy and lazy.Drill holes, use nail plates if your concerned with the clearance. Running it behind is sloppy and lazy. And as was said before, it's not a load bearing wall. If you are concerned with proper safe usage of a drill perhaps you could get some instruction on that from this site as well.
Agreed drilling would be the best option, but as long as the support requirements are met, and protection from physical harm is observed, he could use about anything to tie or mount to the studs OP is asking about.I disagree that running cables behind the studs and against a basement foundation is sloppy and lazy.
If you do choose to drill holes in the studs, you can leave the proper 1-1/4 inches in front and not install nail plates on the back. Even for 2x4 studs against a foundation wall it is okay to leave more wood on the front rather than drill the holes dead center.