Meh, while I think the stock gearing isn't ideal, I haven't coined up for the gear kit. Your doubler will be plenty for gearing anyway.
The C4 is a really good trans. There isn't much you'll need to do to it. I'd recommend going through the pump and getting new gears, if available. Get a rebuilt torque converter, too. I don't know what you are doing for cooling, but I'd run an auxiliary cooler for sure.
On the trans I just built, I did the #9 thrust washer oiling mod and drilled the corresponding oil cooler port. Everything else was kept stock. On the board are several threads for rebuild parts. Most kits don't include everything. You can tear it apart and check the bushings to see if they need replacing before ordering. I'd recommend getting the shim kit, sprag, a new servo for the reverse band, and a deeper sump pan/pickup (optional) but nice, along with a trans temp gauge. This is in addition to the standard stuff you'll need.
I don't think you'll need any high performance parts, but if you want to get a kit like that, check this out. It also comes with some of the parts not included in a typical rebuild kit. You'll also notice how relatively few major parts are in it, as they're really not needed.
http://www.broaderperformance.com/ford-c4/28-c4-500-horsepower-rebuild-kit.html
Oh, and if the valve body you have has an adjustable line pressure feature, I would recommend checking and setting it so that the pump isn't working full bore all the time.