New Member and Q about tires rubbing/solution

Greetings all. Dan B in Florida and happy to join the forum. I am happy to have acquired a 2003 Tacoma 2WD Base. Will meet my needs and looks great. I acquired the truck with four new Cooper Adventurer 265/70 R15 tires. It looks awesome. The problem is the tires are rubbing on occasion on slow turns or dips. I had a lot of front-end work when I got the truck that was needed, lifters, and ball joints. My question is what else can I do to alleviate it besides a lift? Are there shocks that I can add that provide a lift and/or stiffen the suspension to help control it? Could it be my suspension is not up to par and that is the reason for the rubbing? Thank you for your thoughts and input. I hope to be able to contribute to the discussions. Cheers.