Rigging is mostly a matter of a few key skills and a lot of money. Unfortunately, so is being a Street Samurai.
You should be able to pull it off, but you'd get better bang for your buck (in a long-term game, at least) going with a Technomancer / Samurai hybrid, since Technomancers eat Karma, not Nuyen, and you'll be able to do some absolutely evil tricks with your Sprites. Not a "real" Samurai, but it's a primary combat role, and nothing says "happy" like coming home with more Drones than you left with, neh?
Plus, not having to buy Cyberware or a commlink leaves you with plenty of cash for upgrading your drones and making sure you have the best guns and armor money can buy.
You'll be a little slow at the start, of course, since you'll have to Submerge and get Echos to get your IPs up, but drugs will help some in the mean time, and burning one Essence for Muscle Toner 4 will get you the other half of the Shoot Good equation, with some change left to get another 0.2 Essence of something or other, like Cerebral Booster 1. Swap Muscle Toner out for Deltaware, eventually, and you can upgrade to Cerebral Booster 3.
The up-side is that you'll get to 4 IPs quicker than a "true" Samurai, and your Machine Sprites are going to be hella-badass handling the drones for you.