I have a pair of Polk T50’s here that I planned on using the room is small 10x12
Thank you for that information.
Imo the impedance curve of the Polk isn't really a great match for a tube amp. Here is how the frequency response would change if you went with tubes:
The bass would get louder.
The low midrange (cello region) would get a little bit weaker.
The lower treble region would get louder, because the Polks have a large impedance peak at about 3 kHz. This might result in harshness. I can help you fix this issue, if you are comfortable with a soldering iron.
Finally the Polk's efficiency is not very high, but then your room isn't very big, so I think you'd be okay with 20 watts ballpark. Imo you would want a tube amp that is comfortable with a 4 ohm load.
I have been out of the inexpensive integrated tube amplifier scene for too long to make a specific recommendation, but something with four EL-34 output tubes comes to mind. A company called Jolida used to make such an amp, called the JD-102b, and there are probably similar amps from China today, I just don't know anything about them (I'm more of a speaker guy than an amp guy).
IF you are open to doing minor outpatient surgery to make your Polks more tube-amp-friendly, I think a 4-ohm-capable integrated tube amp would work well. Otherwise, I'd advise against tubes.