Having owned the TacT 2.0s, 2.2X, and now 2.2XP I feel confident the DACs are subpar. I've used a Monica-2, Ack! 2.0, and now Altmann Attraction. I liked all of them better than the stock DACs.
Anthony at Aberdeen Components/MauiMods offers a complete suite of upgrades for the TacT units. I haven't heard any bad words and many good ones. Talk to George about his experiences, as the two of you have very similar systems.
My reasons for going outboard with the DAC instead of internal upgrades are mostly that I am very fond of the battery/NOS combination. I have a highly modified Modwright CDP with his tubed output stage. It is an excellent sound, but less analog than any of the NOS DACs I've had. My opinion is the DAC architecture has more to do with digititis than the output stage. I also believe in putting tubes in the system, though you already have some.
The Paradisea is certainly a hot product right now. Lots of experienced folks are really digging them and it sounds like this could be the ticket. Buying used is a good idea, but I'd look for a current product as the technology is turning over very fast.
Also, you could try a test tone CD. See if there are some particular frequencies aggravating the problem. Create a correction profile that diminishes these frequencies. Sure, you won't have clinically "flat" response, but that's overrated anyway.
Good luck!