Pedals which have a blend control are a must IMO. They allow one to blend some of the instrument's un-effected sound in with the effected tones in order to preserve bottom, note definition, and overall dynamics no matter how crazy one gets with overdrive etc.
Tech 21's Para Driver DI offers decent sounding overdrive tones in a blend control-equipped pedal. It also has a sweepable semi-parametric mid-range control and is a phantom power-able DI box as well.
http://www.tech21nyc.com/products/sa...adriverdi.html
In this video a guitarist uses a P-Bass copy to put a Para Driver DI through its paces via Tech 21's stock settings:
http://www.youtube.com/watch?v=WByH0uiVnI4
However in this video the same player uses a guitar to give a Para Driver DI a workout that involves more knob twiddling which better showcases how useful that semi-parametric mid range EQ really is:
http://www.youtube.com/watch?v=9-0xo...eature=channel
Unfortunately neither of these videos properly demos the blend control.
I used to use a Tech 21 Character Series VT Bass (which I've since gifted to a young bassist). It lacked a blend control thus once there was enough overdrive for snarling treble strings, the bass strings turned to mush. A blend control would have allowed some of my MIJ Fender VI's dynamic low end punch to be dialed back in. It is for this reason that my next overdrive pedal will likely be a Para Driver DI (which sells for ~$230 CND).
Here is the same player & bass through a Tech 21 SansAmp VT Bass:
http://www.youtube.com/watch?v=_be9G...eature=channel