For a battery-runnable pedal, I'd honestly say take a look at a Zoom MS-60B. For the price, it's an amazing little all-in-one multi-fx box.
As for your Broughton pedal should you want to use it, any reason to not just use one of the 9v battery boxes/recharable supplies with your existing pedal? Then it doesn't matter if the pedals themselves take 9v batteries:
9v in a box, no 9v booster so as batteries die, it'll send less voltage to pedals. Probably not the option for this, but for reference:
Vertex Effects Battery Power Supply
Usb battery pack to pedal board adapter, so any cellphone battery pack would work, and steady voltage output. This would be my choice for 1 pedal:
Mission Engineering Inc 529M Ultra-compact USB Pedalboard Power Converter
Rechargable supply itself, 9v out; this would be my choice if I had multiple pedals.
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