CCA has absolutely nothing to do with the charging system. Charging system could care less about CCA as that really only applies to the starting system and the amount of time the starter can be cranked. What you need to be concerned with is the output of the alternator. BTW...and this is for anyone not in the know...CCA means Cold Cranking Amps, which I believe is rated at 0*F (though someone will definately clarify that if I am wrong)
Your dips and near stalls could very well be caused by the lack of available voltage and/or current. Our coil packs love power...our cars get finicky if available voltage gets to be below 11 volts, near-worthless at 10.5.
In any event, I would either isolate or eliminate the charging system first. It'* probably one of the more simpler systems to troubleshoot in this scenerio.
Welcome, downwardly mobile yuppies, to the dawn of the Age of Nefarious.
1993 SSEi - FrankenJinx - dead and gone.
1994 SSE (136K strong) - 180* t-stat,HD alternator, most unequipped SSE on the club, XM radio, Kenwood CD/MP3.
2006 Chevy Malibu Maxx LTZ - Custom 2.25" manifold-back exhaust w/FM-80. Probably the only Maxx with this system.