My only idea so far is, seeing that I only have one line input (cd), is cutting open the RCA cable and switching + and - of the line, and connecting the speakers to the power amp the correct way. So, I'll do just that.Don't! If the cd player and the preamp both have 3-prong power plugs, or if any other connection path were to be present between the chassis of the two components (now or in the future), doing that would short the cd player's output to ground.
Not sure why you would have a hum as a result of swapping cartridge leads. Are you sure you did that correctly, which usually means interchanging red and green with each other, and interchanging blue and white with each other?
Also, I'm assuming that when you say "phase correct for the phono stage, phase inverting for the line stage," you mean that the preamp output is phase correct with respect to the phono input, and that the preamp output is phase inverting with respect to the line level input. That would mean that the phono stage section of the preamp, in itself, is phase inverting. Otherwise you could simply switch the speaker connections and both sources would be phase correct, since the phono stage output goes through the line stage.
Regards,
-- Al