Here's the problem with driving on the weekends. Unless you get hooked up with a company and they're ok with paying your insurance the answer is no. The TLDR here is that if you're and employee or contractor for a trucking company, you'll be paying insurance rates based on driving the legal DOT(in the states) limit.

If you want to see what this looks like, google around for "hot shot trucking". It doesn't require a CDL under, I believe, 24k lbs. BUT it does require a special insurance since you're no longer a person, but a company.