I'll balance the argument. SET is the only way to go. I have tried a few SS amps since going tube and always disapointed. And push pull is a compromise that cannot hold a candle to SET. It is accepted because people are married to their low sensitivity speakers.
that said, you aren't looking at high end SETs so you aren't getting the highest quality possible sound. And there aren't many good options in bookshelf speakers and high sensitivity. I look for 94db or higher but you can probably get buy at 92 if your amp has high current. Look for a used decware. I have an SE84UFO that is rated about 2 wpc and will fill my room using 95 db speakers. It is my back up. I am currently using a 4 wpc bespoke custom amp with 98 dB speakers. Really overkill on power.
But if you're looking in this price range, you won't find an SS amp that will hold a candle to a simple SET. Try to find one that is point to point wired, not circuit board. If you can find an Aric or a Sachs that works for you jump on it.
Jerry