I actually did an adept character in SR3 that was loosely based on Ghost Dog: katanas, dual pistols, bushido philosophy for Centering.
I gotta say, your GM is really limiting you here. Adepts already don't have enough Power Points to go around, and with a Magic of 3, it's going to be even worse. Even with only 125,000 nuyen and Availability 8, it might be easier to build him as a street sam. (You'll only be able to have Wired Reflexes 1, but you tried to get Improved Reflexes 2 as an adept, you'd only have half a power point left anyway.)