What LED? in what housing?
Variable voltage will give you variable output. It'll start out bright and start dimming as the battery voltage drops. Do you want full light output for an hr? Or, do you want ~.8 watts of light lost every minute?
It won't work without additions!
You need to find a boost driver to take 12v up to the 2200ma @ whatever voltage the LED needs.
Or, you can build a 30+V battery pack and buck it down to your needed voltage for 2200ma.
http://cgi.ebay.com/250859161445
http://cgi.ebay.com/220697691827
Or, send an email to taskled.com and see if you can run a couple of their drivers in parallel. Two of their drivers set to 1100mah in parallel(if parallel works) will get you the 2200mah and pretty much a fixed light output for that 1hr IF you have the battery capacity(minimally 5+ 18650's or a 10ah 12v AGM).
Without a driver, you can 'maybe' get away with a 24v 7ah AGM scooter-type battery. Fully charged, the battery is at 26 volts and dead by 20v. 7ah should get you the 1hr run time. You'll be cooking in the 60+ watt range and as the voltage drops, your LED power will too. But, I doubt that you'll dim below 40w in that 1hr time frame. You can use something like a dropping diode or resistor IF you don't want that initial 60+w output when you 1st turn on the LED with a fully charged 26.4v battery. You'll have to use your DMM to monitor both voltage and current to make sure you're where you want to be.