When is ratio voltage input : output = 1: 1 , are switching regulators in some undefined area, also the efficiency is not so good. That's why they use mixed type buck/boost driver which is also called sepic driver .
At pcb components is one kind of that type driver
http://pcb-components.de/led-auf-ab...-up/1-cell-200ma-1000ma-2-5v-5-5v-detail.html where 1 cell Lion battery with 3,7 V drives 1 white led vith also with 3,7V voltage drop (but only 1000mA ). While battery during run depletes , changing potential , also led resistance varies depending on the temperature , driver try to compensate all that variations with constant current.
@lidas : I would ask pcb_components how effcient would be driver in your case and how will work ( if there would be some troubles ) , in other case I would go with standard buck driver and 1 cell more in batery pack or linear driver if i'll stay with 12V batery pack.