I am sorry, and I don't mean to offend, but if you guys think that from the Budda to the Marshall phases, and from the Marshalls and their versions and with the inclusion of Two Rocks/VanWeeldens/Dumbles, and now the Twin rig, that JB "sounds the same" then you are not really listening. Vast gain structure differences through the years, and a good deal of EQ differences. Let us not forget the different guitars. Does it all sound good? Yes, of course, it is a great player with great gear, hard to sound bad. What doesn't change is JB's playing style and phrasing which does come from his fingers/brain, mood, and soul (if you believe in such things). If gear was not part of the equation, then a Crate amp with a Lotus LP would do the trick.
I think we should really focus on the part of the original question that we can address which is the gear, this is after all the gear portion of the forum, instead of discouraging tone chasing. I went through a long time of gear experimentation before arriving where I am, which is happy and with what I think is my own tone. My opinion is that you have all that you need to get close to the sound. I would suggest adding EV12L speakers to your amps and use the recto verb for some Fenderish tones. Boost the mids/low mids a bit for some Dumblesque flavors You can supplement it with the DC-5 for a nice stereo spread (though I am not really sure of what the DC5 sounds like). Run all the wet effects through effects loops. I would try putting chorus on one side and delay and reverbs on the other, BUT a full dry/wet system may work. I would run your TS into the DLS MKII (try both modes, i prefer the SuperBass in mine though JB did use Superleads). I do that with great results. It was my understanding that JB used to leave the TS on all the time.
I would do some serious tweaking and listening. Pick a song of JB's that you really love and spend the time playing and listening, and if you can recording what you play and listen. Perceived audio and recorded audio can be VASTLY different. Happy tone chasing!
Amp: Firebird Musical Amplifiers
Guitars: 2x 1962 LPs , 02 FB VII, 76 Electra Omega, 64 SG Special, 63 LP Jr, 73 LPC
Effects: Van Weelden ROD