Sounds like you want it before the FX, so if you opt for a passive DI, put it after the TU-2 so it's getting a nice buffered signal. Passive DIs don't have a very high input impedance, so don't sound great with a passive bass hooked up direct. You might want to get an active DI so you can put it first, in case you might switch to a true bypass tuner later on.
Radial SB-2 / ProDI / JDI for passives, or SB-1 / Pro48 / J48 for actives.
Or, just put your whole chain in a blend loop so you can control the blend and feed a mix of clean/effected signal to both your amp and FOH (using the DI on your head or the one provided by the venue)! Lots of blending pedals available for this.
When blending signals however, either in your own blend pedal or by sending the FOH a pre-FX DI signal, you can run into issues where you stomp on a pedal and it inverts the phase, resulting in sound cancellation and low end loss. I'm not sure if the speaker cranker does this, but I suspect it does (I have the speaker cranker but no longer have a blend pedal to confirm).