I would look at a cartridge upgrade first. I have the Blue and it is good but not the best of the four cartridges I own. Denon 103, ADC VM760, Grado Sonata, and the Blue. The others definitely beat the Blue in all parameters.
You asked for the best TT in the $4000 price range. Frankly, I don't think there is such a thing as "best" in the upper price ranges. What you do have are differences that will influence your decision on one over another. I would look at all of your choices carefully, find one that fires your rockets, and put your money into a better cartridge. Do make sure the compliance is suitable for the arm you have or will buy before you send that backhoe into your wallet.