Hey Cole, I'm not certain if the branding is going to make too much of a difference.
People's bags get probed pretty indiscriminately on public transport and such. Aside from moving between accommodation and place, you shouldn't be carrying it around so much, should you? If you're worried about being a target, it's jewellery, cameras, wallets, ipods, etc that draw attention. Plus, there's tonnes of fake brands out that way, as I'm sure you know. Just because it says Northface or whatever doesn't mean it actually cost a lot. If you're really concerned and can only find branded stuff, then scratch or pick the brands off. Within a week of travelling your bag will no doubt look, and smell, pretty grimy anyway...