I've got both, an Engl Screamer with 4x12 V30 as well as a Tonelab. At home I almost only play the Tonelab through Studio monitors. I've never tried it with a band/PA.
If I would have a band again, I would give the TL a try (less heavy to carry around and more versatile), but might end up with the combination of TLab and Engl, or TL and UniValve, or maybe just an amp with a Wah pedal, as effects kinda get lost anyway with a band. Ideally, you'd find a shop nearby that gives proper service and lets you try both options in a band rehearsal. My old guitar salesman in Germany did that for me actually, back in the old days:)
All the products in your range offer good options, don't think the TLab is not versatile, not only has it Recto models, it also has 7 different overdrive/distortion pedals, which gives you virtually any sound you might need. Friends of mine are into metal and ask me every time to bring the Tonelab when I visit them, so they can make some recordings with it.
But the only way to find what's right and clicks with you is playing it. You already found out which products are in the finals, in the end your belly will tell you which wins the race
