As a previous owner of a slink-e and 3 sony 400 disc changers, I am pretty much certain that there is no current way to integrate a slink-e with anything other than cdj. I am sure you have checked out their support forum but it had degenerated beyond all usability before they even discontinued the slink-e. I am sure that someone could write a plugin for media center to allow some interaction, but I wouldn't hold my breath on that.
I know you asked me not to do this but here goes anyway;
sell the slink-e on ebay while the price is high, I have seen them go for over $300.
Sell your changers, depending on the model, you could expect $150+ each.
assuming you have 2 you will end up with aprox $600. More than enough to build an entry level media center pc.
Storing you music as APE files will require under 300gig so one large drive will suffice. if you have a frys nearby get their cheap MB/CPU combo a cheap video card 512MB of ram and you will be off and running.