I think tube preamp is probably the right track for you.
The only thing I worry about is the sunk cost fallacy. Your system would probably sound better if you have an upgraded power supply for the volumio. And then you can change the DAC for another one that’s high performing but less bright. But then maybe you should just sell the Volumio and DAC and just upgrade to a DAC/streamer that sounds smoother and warmer and bypass the tube preamp. Sometimes when we are very attached to the gear that we own, we end up making patches to accommodate our pre-existing gear (like a tube preamp), rather than saying, if I were to do this all over again with the money that I have, I probably would have bought totally different gear instead. It’s just something to keep in mind before you make the leap to tube preamp. Which is still probably the right direction for you.