Had 90 dB/w/m, 27-20,000 Hz speakers (very easy impedance loading) hooked up to 7 wpc class T amp years ago. (Was a fan of small amps back then too, but couldn't find a high efficiency speaker I liked and being a 'speaker guy' finally went with the speaker I wanted.) Sounded remarkably good near-field in an 8ft x 13ft x 21ft room, even did OK in a much larger room. But moving up to 40 wpc turned the speakers from polite gentlemen at a dinner party into NFL linebackers in tuxedos, teaching me the importance of the amp providing a commanding grip on the speaker for both improved detail and dynamics.
Your suggested pairing could only possibly satisfy (but never excel) at small acoustic ensembles at modest volumes. It would be an exercise in frustration and extremely non-dynamic. You'd experience neither the best of the amp nor the speakers.
Audio is full of compromises, you have to decide what to prioritize. If you want to stick with the Salk's suggest looking for any number of 40-100 wpc amps, but in the $2000 range you're probably best off looking for solid state to get the best quality. If you want to stay with 300B's consider something like Omega Alnico monitors (Omega also has a circle here) in your price range (same bass extension but 10 dB more efficient and recommended for 2 wpc or higher amps). Or as WGH recommended, double your amp budget. (Being a 'speaker guy' that hits me wrong.)