Something like the Dayton "C" & "B" series speakers from Parts Express comes to mind. I don't have personal experience with them, but Dayton is pretty well respected as far as budget speakers go, and these are all 6 ohm with fairly high sensitivity, geared toward lower power amps. I would guess that even if you went with one of the 4" woofer options it would be an improvement over the original speakers.
Couple examples, there's quite a few models in this series:
Dayton Audio Classic B65 Bookshelf Speaker Pair Wood Dayton Audio Classic B65 The Classic B65 bookshelf speaker boasts an elegant cabinet design that houses an all new Dayton Audio 6-1/2” bass driver and a 1” silk dome tweeter. With a meticulously engineered crossover, the Classic B65 creates an...
www.parts-express.com
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Dayton Audio B652 6-1/2" 2-Way Bookshelf Speaker Pair They're tiny, but there's plenty about them to like You've seen the B652 speakers reviewed positively by Stereophile, c|net, and Apartment Therapy. Now try them for yourself! Engineered to deliver conversation-starting bang-for-the-buck...
www.parts-express.com
Woofer: 6-1/2" polypropylene • Tweeter: 5/8" polycarbonate ferrofluid cooled • Power handling: 40 watts RMS/75 watts max • Impedance: 6 ohms • Frequency response: 70-20,000 Hz • Sensitivity: 87 dB 1W/1m • Dimensions: 11-13/16" H x 7-1/16" W x 6-7/16" D • Sold in pairs