I absolutely loathe available light, but there's no way you can illuminate that space with your own flash while preserving the interior appearance of the business and the lighting scheme that is visible to customers. Mixed color temps of the continuous sources do need to be attacked head-on, starting with window light: shoot when the sun sets, and be ready to hang drapes if glare from neon or streets lights infiltrates. If halogen and fluorescent sources are both present, you have additional location-work on your plate. 
Canon, Nikon, Contax, Leica, Sony, Profoto.