Are you upgrading the door speakers or adding them?
If not, just use the Bose amp to power them...I'm 90% positive that any aftermarket amp hooked up to the factory Bose speakers will sound like garbage...Buy the PAC adapter(forget model) that will retain factory chimes and Onstar....and just hook up your sub to the aftermarket amp.
I have an 03 Silverado SS, and the factory stuff sounds great, especailly once you add an aftermarket sub(I have 2xJL12w6). You then can tune out the bass to the Bose system and get much more clarity out of them.
If you are upgrading the door speakers or adding some, then you are on the right track..And you need to use those wires going to the PAC to retain the chimes. Personally, I would find the adapter to get rid of the chimes. I originally wanted to keep my chimes, but accidentally baught the wrong adapter....Now I'm loving not having the chimes...I kinda miss the warning chiimes, like low fuel....but there is a big dummy light in the cluster...Another problem with retaining th chime, is that you will not be able to adjust the volume without the stock head unit...I believe you can set it to low, before you pull the stocker out, and it should still be set on low, when you finish your install...If yours is anything like mine...low is not very low....