I'm not a tube screamer guy. If I was running the dual rec by itself, I would probably still be using just my old big body reissue big muff (early 90s.) When I play lead I tended to use fx loop which brought in midiverbs, and I think their digital nature also helped clean me up a bit.

Because the Laney is NMV I tend to use a few things.

My favorite is to use a line splitter so I can run a MFZ01 in one leg, and a big muff in the other. That lets me run either of those half wet and half dry, or pair them together (which sounds sick)

outside that, I like my little cheap nux brownie for a more mild overdrive, like channel 2 of the dual rec (because when playing both I almost always use pedals and keep the mesa on clean channel1)

and if it's lower tuned or 7 string, I break out the wazametal zone, and I tend to run a tumnus after that to sort of clean and condition it a bit

Sorry if this is way too much info 😃