Note: the TubeCube is the third or fourth coming of the miniWatt.
A tube SE amp (and mot SS ones) have a highish R
out (the proper way to talk about damping factor), and any speaker impedance deviations will impose themselves on the frequency response of your loudspeaker.
Here stock impedance (not good) vrs the Crites XO.

You might want to optimize the speaker impedance before moving to a high R
out amp.
It is going to be hard to find a commercail SE amp for less than $500 unless you diy (the tube cube amp is sort of a budget EL84 SE, using a slighly less beefy tube). It is really hard, for instance, to make a bad EL84 SE (do note that the Decware paved the way, but now kinda insanely expensive for the quality). Should be able to do something for a couple hundred bucks if you are frugal. Gets harder from there, but there are at least a few kits, and some well documented projects (i saw the oddwatt linked).
And as i was reading thru the thread, my thots also came to the ACA (Amp Camp Amp). This amplifier solidly falls into the 300B class SE amp, better than many, not as good as the best. But dirt cheap, easy to build*, and really decent sound. Not for those who weight the flaws of an SE amp over their strengths, but often winning orbeing hard to distinguish from 300B SE amps in amateur reviews. R
out is modest and not a lot of problems with all over the map speaker impedance so that is not a serious worry (buy 2 and bridge them and R
out doubles and they go from being SE to being balaced SE (ie Class A PP) if bridged, or Parallel SE in parallel mode (where R
out halves).
*(Amp Camp Amp. designed so that a group of people could get together for a day camp and go home with a working amplifier, designed to get people over their fear of diy. And given the 1000s out there often can be had used for not much more than the kit. Everyone should have at least one [i have 6 channels, ;^) ]
A bit more than the tubecube, you have to have a soldering iron, but you get about 5-6x the power and no tubes every need changing.