IDK how cheap cheap is, but if I were looking for something without a subwoofer, I'd probably start with these speakers:
Dayton Audio B452 4-1/2" 2-Way Bookshelf Speaker PairDon't judge a speaker by its size! The Dayton Audio B452 4-1/2" bookshelf speaker is the smallest in the Dayton Audio family, but the sound is big. A newly-designed 4-1/2" polypropylene cone woofer with 4-layer voice coil achieves excellent...
www.parts-express.com
and this amp:
Dayton Audio DTA30HP 30W Class D Mini Amplifier with Headphone OutputThe highly efficient audio amplification of the Dayton Audio DTA30HP provides an amazing soundstage and presence combined with enhanced clarity and sound quality; all at an amazingly low price. The DTA30HP features a TPA3116D2...
www.parts-express.com
I use those speakers on the stereo I keep in the garage for tunes. They're a touch on the large side for bookshelf speakers, but they do the job.