You asked for a unit without CD. What do you want, a miracle. Sorry Charlie, you are not going to find anything without a CD or Tape, unless you go with a retro unit, or go without.
I have a Kenwood in my Trailblazer, and never use the CD part of it, and never had problems doing so. So, I really do not see why you are complaining about having a unit with a CD player in it. It really is not going to change the price any whether the head unit has one or not.
Now of course, if you want cheap, go to your local Wally World and pick up one of their junk non name brand units. Majority that have after market radios in their vehicles, either listen to Sirius/XM, iPod, music streaming, or HD-Radio.