You used the word "Compliment" so I am going to give a literal interpretation and recommendation:
Since the CC is a Monster-Mid, with fat highs, and loose bass, I recommend the 59. Why?
- In the neck you will get an opposite EQ curve; Bass + Treble, scooped mids
- In that guitar a 59 bass will be tight, the highs cutting.
So you get the CC Bridge
An Opposite EQ neck
And in the middle spot - You add a little cut to the highs, don't augment the mids, and add a little bottom, and tighter bottom, for a very full sound, and different, 3rd sound in that position.
An A2P is not a bad choice either, but it is the same buttery highs as the bridge, the same boosted mids. That is more of a "match". A DiMarzio PAF Pro wouldn't be a bad choice there either
I personally went for a Pearly Gates...but I was using in a Les Paul, so I needed a little less bass than the 59, and a little more upper mid cut. The A2 in a PG does jive nicely with the CC though.