Please respond to the items in red and I think we can offer an option to beat what you are proposing within your $300 budget!
Give us a link to your local craigslist (or tell us what city) and let us see what you have for receivers in your area! We can make informed suggestions!
What type of connection(s) are you looking for? I know you said RCA is not useful anymore (I assume you are saying that is not the connection you need and not that they are defective),but are you looking for HDMI? TosLink?, BT?
What source(s) do you plan to use?
As far as the Monoprice amp, it is a bit of an unknown. Monoprice usually does pretty good for the cost, but I would say the tube amp is more of a novelty than a serious piece of gear:
1) The specifications are not given under FTC criteria, looking at the manual, the amp is capable of 53 watts RMS, but that is only at 1kHz (we like to see from 20Hz to 20kHz which is what established companies use) and there is no specification of how much distortion is allowed for this power rating!
2) The +/-2dB from 20Hz to 20kHz rating for the frequency response is pretty sad for an amplifier. Amplification is a mature science and I'm surprised to see such poor numbers for any modern electronics.
3) Look at the photo Monoprice provides looking straight at the front:
The first tube (left-most) leans to the left, the second leans to the left (but not so bad),the third one leans to the right, and the last one looks like it might actually be straight (although it may well lean backwards or forwards)! Crooked tubes should not impact the sound, but I think it does reflect the overall build quality! If this is the best they could find for "showcasing" the product, I cannot be too enthusiastic about recommending it especially knowing you would like to load it for two pairs of speakers!
Also, as BSA has mentioned, you can use tone controls to get the "tube sound".
You mention that you use the silver speakers to offset the bass of the large speakers. Most likely, when the woofer in the large speaker was replaced, the person who did it was oblivious to the need to match the woofer to the rest of the speaker system. If the woofer is more efficient than the other drivers and without modifying the crossover to compensate, you will end up with a bass heavy speaker. If it is a hand me down with extreme nostalgic value, that is one thing; but you need to realize that you are essentially hobbling your system by deciding to keep the large speakers!
The Sony Core speaker is one of the better options/values in a speaker. However, having compared it directly to the Philharmonic AA's, I am comfortable recommending the AA's as a speaker that offers a little more detail, openness, and bass (it may seem counter-intuitive, but this 6.5" mid-woofer in a bookshelf does a tighter and deeper job than dual 5" woofers in the Sony tower). I would buy the Philharmonic AA's even if the Sony Tower was $200/pr.
Nonetheless, if you just want towers or don't want to trust the recommendations of strangers (me and the others here) with an internet order, I do not think you would be disappointed with the Sony towers, they are decent for the price.
Last (but maybe should have been first if I now understand what brought you here),if your real problem is that the JVC only has RCA inputs and you want to use sources with digital inputs, you can get one of these to adapt the two (I have used a similar one and it works great!):
HDMI to RCA adapter (from Amazon)
Optical to RCA Adapter (from Amazon)