Hah!

Strongly recommend one of these instead of a handlebar bag:

Lowe Alpine Mesa Runner

I wore it throughout the whole trip I've just returned from, and it was great - not sweaty or restrictive at all on the bike, not even when walking about in Delhi. Stores everything I needed - camera, money, passports, notebook, snacks, bits & bobs, and can be swung around to sit at the front if you prefer (sometimes comfortable, sometimes for security). And, if you decide it's a hassle to wear it, you can strap it to a rack or your bars. One of the best bits of kit I have.