I'm experimenting with an ampless setup, since I'm already schlepping the PA to our shows. I've had a Zoom B6 for a while - a couple years actually - and I like that thing, especially for how easy it is to dive right in and build patches, reset existing ones, and even use it as a sort of "virtual pedal board". It also has a DI with four different settings that model different DI boxes, but I haven't tried those yet. So far I've only used it in front of an amp.
The new find for me is the Tech 21 Bass Fly Rig v2. So far I've used it for two shows with two different bands where I ran its DI right to the mixer and got some of my sound through a monitor. This little strip isn't exactly on a level with something like an HX Stomp in terms of all it can do, but it has both the BDDI and VTDI circuits in it - I can select one or the other with the touch of a button, switch that "preamp" setting on/off with one footswitch, and also toggle back and forth between a clean and an overdriven channel with another. And the levels are pretty easy to set so that they match up well with each other as well as the bypassed sound.
While the ampless layout is a quick and easy setup, it was a mixed bag for me when I filled in with another band that has a louder stage volume than the gang I've been with for a while. This fill-in gig will include at least another five or six dates, so I'll probably use my Fly Rig in a two-way layout on that louder stage going forward. The DI will go to the mixer and the 1/4" out will go to an amp on stage so that I can hear enough of myself if things get loud.
I've had an older BDDI in my stash as a just in case sort of backup that could at least get my signal to a mixer if my amp broke down, but I've always been a little bit leery of its mid scooped personality. At least for me, its only good for one bass I sometimes play, but not two others. The VTDI circuit in the Fly Rig is a more mid-forward sound that has worked pretty well so far - bold, but not harsh. If I want to do a sort of modern hi-fi Jazz bass tone for something, I'm pretty sure that the BDDI circuit would be able to give me a good dose of that.