Mini overdrive pedals that don't lose low end

[shoulderpet]

So, I am looking at switching as many of my pedals as possible to mini pedals as my pedal board is becoming too big and weighty.

 

I now have my chorus pedal and EQ pedals sorted so am now looking for an overdrive pedal, what is out there that has a small footprint but doesn't lose low end?

I would like to keep the cost below £100 but preferably I love a bargain so the more inexpensive the better.

 

I see there are a lot of of mini overdrive pedals out there but they all seem to be made for guitar.

 

Thanks