I don't know of any monitors that can cut it on 3 watts. Floorstanding Klipsch or Coincident may work.
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I think a pair of Reference 3A MM DeCapos would be a good choice. I had a pair in a slightly smaller room and they were very good on 3.5 watts/channel. The Coincident UHS series may work well too. It's really going to depend on the listening volume and your choice in music. Large scale classical may be an issue unless you go with a super efficient speaker, which typically means a large floorstander....
Older Klipsch the Khorns cost too much but the Belle and Lascala are very very efficient. I bought mine after auditioining them on a 2A3 2 or 3 watt amp. You can get a pair of either these 2 used for $750-$!200. They will play very loudly with your amp and certainly fill the room. Otherwise get those things Musical Fidelity refuses to call amps they are Superchargers! They deliver 500 or 750 watts of power without touching the original signal and not even being an amplifier. They may be more than you want to pay but MF seems to want them sold so you never know.