Those are incredible nice amps, not that I have actually tried one, but I did own an Ampeg B-15 once (the 60 watt S model form 1969, to be exact), which I terribly regret selling, and which your amps seeks to replicate (and as far as I have read does so very accurately too) and slightly modernize.
If I were you, I'd do the same as I do with my 2 amp rig, even though my rig consist of a solid state Trace Elliot combo of the SM series and a Dynacord Bass King tube amp, and I am using 2 different 15" units.
Anyway what I do is that I let one amp (my solid state Trace) take care of the cleans and then run the other amp (my Dynacord tube amp) slightly dirty to add some grit to my tone.
Now how I handle overdriving my tube amp is to boost it with a Joyo Orange Juice set to slightly dirty followed by a 7 band graphic bass EQ for further tonal adjustments, dial in a tone characteristic that the amp seems to like and at the same time compliments the tone of the other amp as well, and then crank the master volume of the EQ till I get the desired amount of overdrive from my tube amp.
I guess your MXR CAE Boost Overdrive will serve for this purpose, as an always on pedal, on this side of the signal chain, to obtain what I did, given you chose to follow my example.
What I do to run 2 amps simultaneously is that I run my Dynacord tube amp via the tuner output of my solid state Trace combo, that happens to be the preamp pre EQ signal at instrument level and impedance.
But what you should naturally do in that situation is to split your bass signal via your Radial Bigshot ABY into each of your two amps.
If I were you, which I am obvious not, though you are still welcome to mimic my approach, my signal chain would then end up looking something like this:
Precision Bass>> Barber Tone Press> volume pedal> Radial Bigshot ABY (splitting into 2 signal chains)
(ABY Chain A)>> Clean Ampeg PF-50T> 1st 112 cab
(ABY Chain B)>> MXR CAE Boost Overdrive> Dirty Ampeg PF-50T> 2nd 112 cab
And if you are curious as to what kind of bands I play in that would be one traditional power trio (drums, guitar and bass) called Tauon playing slow heavy dark rock music, in which I by the way utilize very little effects, as well as I play in a bit more unusual trio, consisting of drums, keys and bass, that we have yet to find a name for and yet have to settle on a more specific style of expression, but aiming towards being a jam based experimental outfit evolving our play around loosely and flexible structured compositions, and where I unlike the first mentioned trio get to use a lot of effects.
Both originals bands, as you might have guessed from the context.
Anyway have fun experimenting with utilizing your two amazing sounding and astonishing cool looking amps, wish you the best of luck in that regard
Rock on
