To chime in on the pedal arena...
The BigD is miles away from an SD1, DS1, Badmonkey, for what it does. I tried all 4 with an LP and a Laney LC30II, and the BigD was the most transparent of all, sounding amp-like as well, and it was super silent (with respect to hiss). Having said that, it is too loud (which is not bad), and i find myself with buzzing ears frequently as i approach the amp for tweaking... the Gotoh pups are squealing like pigs with the BigD on.