For your purposes I recommend the tech 21 Bass Fly rig. It's a little spendy relative to the features you get, but I like it because it functions like a pedal. I hate little lcd menus on multi effect units.
Drawbacks- it's really sensitive to power fluctuations. If you try to run it off dodgy power it kind of cuts in and out in a weird way, but I've only had it do it once when I was running off a generator, but keep that in mind. Also some people absolutely hate the octafiler section. I like it, but it's a little fiddly at first. Also the compressor takes tweaking to dial in. Still, I like it and it's very durable. A bunch of beer has been spilled on mine and it still functions perfectly.
The Fly Rig has no headphone out or aux input, correct?
wow