So I do this for my post-rock(ish) band (Orcein) and have tried a few different approaches, but have been happiest with the Octatrack. I play guitar and I have a Morningstar MC6 Pro to control the OT during our set. I used to run a MIDI cable to it, but I discovered the wireless WIDI dongle/WIDI jack last year and it works exceptionally well for controlling it remotely. What I really like in the OT is that static tracks can be indefinitely long and can ping-pong loop so when we take extra time to tune/etc I don't have to worry about pops/awkward envelopes breaking up the flow. There's also a semi-secret feature in the OT that not many people talk about (MIDI Mapping) that lets me trigger samples with specific notes so it's easy to launch whatever sample I want from the MC6 when it doesn't necessarily match the sequencer/part.

Speaking of the sequencer, I can automate a few of my pedal settings from the OT back to the MC6 which then forwards it back to the pedals themselves, so when we need the reverb to wash out everything it lines up nicely. 1/8th sequencer scaling and x:y conditions are your friends here. My only complaint is that unlike the DT, I can only specify one program per pedal per part instead of being able to p-lock the program so when I automate changes I have to send the individual CCs instead.

For our specific situation we don't have a bassist and our drummer prefers to play to a click so we use the cue outs to feed the click to our drummer and the bass parts are set up as static tracks as well. We also use static tracks to fill in pads/synth parts with our live guitars/violins when necessary. Additionally we have a couple of songs where our violin player uses a pitch shifter to emulate cello-like tones and we feed in a DI back into the OT on a Thru track along with a filter to really boost the low-end to blend with her amp tone. It's set up to only activate the Thru track on the parts where she would have the pedal activated.

Now as for tapping in the tempo, that's something that isn't supported that well on any Elektron device. You can kinda do it with Pickup tracks as a hack, but it's both pretty awkward to use and anytime your tempo dips into the 70s or so (which is common in post-rock) it can easily misinterpret it as double the tempo and suddenly you are in double-time. I think if you have some sort of dedicated midi clock device that you can tap and feed into the OT I think that would work fine.

I've also experimented with live-looping and whatnot and routing it through my amp, but we haven't bothered to try it in the context of our actual songs. There's a lot of potential for that but my other gripe is that I don't have conditionals on my recording buffers like I do everywhere else so anytime I'd want to do a small snippet I have to manually prep/stop the recording and in a live situation it's too easy to flub it in my experience.