This might work for you and is within your budget. Music Direct has the well regarded
Wharfedale - Diamond 10.2
speakers on sale for $299. You can get a Yamaha
A-S501
Integrated on Ebay for $349. I've never heard either, just an option from good companies.
https://www.musicdirect.com/speakers/wharfedale-diamond-102-bookshelf-speakers-pr-awfdia102blk
https://www.ebay.com/itm/YAMAHA-A-S501-170-watt-Stereo-Integrated-Amp-DAC-with-sub-out-AUTHORIZED-DE...
https://www.musicdirect.com/speakers/wharfedale-diamond-102-bookshelf-speakers-pr-awfdia102blk
https://www.ebay.com/itm/YAMAHA-A-S501-170-watt-Stereo-Integrated-Amp-DAC-with-sub-out-AUTHORIZED-DE...