Lee would continue the run of moderate-conservative Republicans that Tennessee has been known to produce--not much different from Bill Haslam or Don Sundquist or Lamar Alexander.
Now, Marsha Blackburn is a different matter...
Lee is significantly more conservative than Haslam. Randy Boyd was running as Haslam 2.0 in the primaries. If Boyd and Haslam were Kasich/Jeb (to use an analogy), it might be more accurate to compare Lee to Rubio or Cruz. Black ran as Trump in the primary, and it's kind of hard to fit Harwell into it, but maybe a hybrid between Fiorina and Paul?