Unless your current cables are somehow pretty deficient I don't know that you'll hear much real difference. For starters, I'll cast another vote for leaving the balanced ICs as-is - unless they're actually coathangers you're unlikely to find significant improvement there.
Bi-wiring? Well, if you're not going whole-hog and actually bi-amping, then that's probably not the answer you might think it is (unless you just wanna buy more wire ;~). And please don't take my opinion - you can read a fairly plain and pointed "what cables" page from a fairly popular purveyor of decent wire and see what they say at:
Cobalt Cables. No, I'm not associated w/ 'em in any way - I just find it refreshing when a cable manufacturer tells the unadorned truth.
And buying cables to tame your highs? That's realy using wire to be a tone control, and that's the proper job of the electronics. If your pre-amp isn't doing the job for you there, then maybe it's time for a full-fledged equalizer - and you can get one heck of a higher-end equalizer for less that the price of a pair of MIT Magnum bi-wires. I have nothing against MIT or buying good wire, but I just think it isn't the job of speaker cables to color or change the signal - exactly the opposite. And maybe an equalizer isn't even needed here - maybe just tuning/tweaking your speaker placement and the room (treatments, etc.) could be a better place to start to fix those highs? Good luck!