My board has the overdrive last in the chain, however I'm only using a few pedals - no pitch/delay/modulation etc.
Mustang Bass -> [Boss TU-3 Tuner] -> [Boss SY-1 Synth] -> [SFX Thumpinator] -> [Boss LMB-3 limiter] -> [Boss ODB-3] -> Ashdown ABM 600 EVO IV
The LMB-3 is always on (as is the thumpinator). The grit & dirt in my sound comes from the Amp, and the OBB-3 is used as an extra boost punched in when needed, and never when using the SY-1.