Best cheap integrated amp

Though this system sounds very good I’m considering downgrading the amp for a few reasons:
1. Infrequent use the system, so I question the logic of owning a $2k tube amp.
2. The matter of inconvenience of letting a tube amp warm up for best performance. I would use it more often for shorter periods of time.
That’s it in a nut shell.

Yamaha A-S501 or a deal on a used 801.  Scary good for the $$

This is $400
https://emotiva.com/collections/amps/products/ta-100
And got a good review from Steve Guttenberg:
https://youtu.be/fZchkGVNWA0
Paired with these $300 speakers:
https://emotiva.com/products/airmotiv-b1-pair

Thanks for the recommendations. Reviews seem to indicate the NAD 316BEE and Emotiva TA100 may be the best <$500 integrated amps, with the edge to the NAD. The Emotiva includes a DAC which I don't necessarily need. What do you think of these?

OP: I recently bought the Yamaha  60wpc A-S301 for $350 new.  Sounds outstanding and way bigger than 60wpc.  The other two Yamahas mentioned above have slightly more power and supposedly in another league, FWIW. 
Good luck!