Yeah, 2 ounces is borderline aggressive for a normal APA, but depends on your taste.
Like Yoop said, do progressive additions. Note though, that tasting beer out of the secondary with certain expectations is a whole different can-o-worms.
If you really like a big whoosh of hops in your nose (like I do), toss em both in.
FWIW, I usually stick with 1.5 ounces of dryhopping for my APA's.