Tbadder,
Normally, I would endorse lcrim's suggestion of using the Volex powercord, at least as a baseline to compare other cords to. But the Mark Levinson marque (at least in it pre Harmon guise), has always provided very acceptable powercords with there products. Acutally, it was their use of the Belden 17604 cord (now with a Volex moniker) that led Bob Crump to realize that powercords really do have subjective effects, and modify it with better terminations, and offer the design to the DIY community, which became the 'Asylum Powercord". So if your present powercord says Belden or Volex 14/3, you've got a good baseline. If it says Unicable, take the cord and use it to bind whoever sold you the ML in a humiliating and painful position and then get the Volex for baseline duties.
As far as specific configuations being more appropriate for certain a use being total drivel.... no, it is the overall marketing 'technical' descriptions and rationalizations, from some of the very 'bestest' manufacturer's that is total drivel. But some configurations do indeed suck less in in line level and digital use. But your need for your very husky, yet resolving integrated are the same as those of a poweramp. In addition to the previously mentioned Audience, I'd suggest products from TG Audio (Bob Crump's commercial offerings), Empirical Audio and VH Audio, all vendors that don't blow smoke up their customer's ass.
It might also be fruitful to pose your question on the Amp/Preamp or Cable forums over on Audioasylum.com. And consider whether the response is from someone who actually evaluated on an ML amp or integrated, not someone who simply must share and evangelize their latest purchase. Sorry, but I've never heard MLs with other than their supplied Belden/Volex cords. And do buy on approval....
lcrim,
Way to go!

Minimal cost, and usually, an accross the boad major improvement over a stock OEM cord. The first 90%(+-) of improvements. are cheap if you know what yer doin and yer a lucky sod, its that last 10% that's 'spensive.
Occam (aka pmkap)
PS- And as good as the Audience powercord may be, I'll take 3 Volexs @$1/ft on 3 components (source, pre, amp), over 1 Audience pc @$350+++ on the component of your choice, with the remaining components using their stock OEM PCs, any day....