the highs were too shrill and the mids a little recessed.I've been there. Mullards are the way to go. The cathode follower does influence the overall sonic signature, but less than the front tube, of course.
I've used Mullards for gain and RCA Cleartops as followers. You get the Mullard sonic signature with some air at the top-end.
Let us know how it turns out.
Oh yeah, what did Andy say about the CV4003 tube?