Here’s a couple of videos which may be helpful... they both have a "tubey" sound... and they aren’t too far above your budget, if you find them used on Audiogon, or USAudiomart, or Ebay.
https://www.youtube.com/watch?v=xSwFRY6cWWA&t=0s
What System for <$5000...
https://www.youtube.com/watch?v=CzK4U8pPqOY
Hegel vs McIntosh...
https://www.youtube.com/watch?v=5NjXfzGoEdI&t=114s
https://www.youtube.com/watch?v=2E8ExBUC64c
https://www.youtube.com/watch?v=_ohq1of7Y8g&t=132s
One of these would be my choice - They both sound great!
https://www.youtube.com/watch?v=xSwFRY6cWWA&t=0s
What System for <$5000...
https://www.youtube.com/watch?v=CzK4U8pPqOY
Hegel vs McIntosh...
https://www.youtube.com/watch?v=5NjXfzGoEdI&t=114s
https://www.youtube.com/watch?v=2E8ExBUC64c
https://www.youtube.com/watch?v=_ohq1of7Y8g&t=132s
One of these would be my choice - They both sound great!