All my gigs are ampless (and have been for most of a decade). The key is getting a good sound out of a pedalboard. You're replacing an amp, so you need to understand what an amp does, if you want to replace it. In an amp (walking through the schematic of a Marshall), you find a stage that is simple voltage gain, a stage that overdrives, a stage that does eq, and then the power amp, which drives a speaker.
The first stage isn't completely necessary, but I do have a boost pedal first on my pedalboard - one with very low noise. That gain raises the signal above the noice level of the chain - it helps with that, so I use it al the time, with varying gains according to what bass I'm playing at the moment - basses with more output get less gain, and vice versa.
The next pedal on my pedalboard is an overdrive - what one specifically changes from time to time, depending on the needs of the gig and my mood. IO't son when i want it, which is usually less than half the time, but on some gigs....more.
The next pedal is an eq pedal - a Source Audio EQ 2. This is always on. It functions as the eq in the rig, the high pass (which is set really low - I play 5'ers, and I'm just trying to keep subsonic stuff out), it has a limiter that probably never gets triggered, it helps equalize gain, and it has a low pass filter - if you're used to playing through cabinets that don't have tweeters, you probably want a lowpass to de-fizz any dirt pedals, and to take some of the bite out of your signal. I don't use speaker IR's to do this, because they roll off low end - with a 5'er through a very capable PA, there is no need to roll off your fundamentals - it actually takes away impact through a great PA - if FOH needs to do that, fine, but they know the room and the system better than you do, that's their job. With you listening through in ears, you really have to learn to trust the sound person(s) - your ears are not in a place to judge anything - you do your job, let them do theirs.
On other thing to like about that eq pedal - it includes a great tuner. all that functionality in one pedal is great - it earns its real estate.
One word about setting eq in a scenario like this - most bass amps scoop mids - a lot of them scoop mids a lot. A fender tone stack, for example, is flat with the mids at 10, the treble at zero, and the bass between zero and 1 - any other setting (which is pretty much all of them), your are scooping mids. Folks on here tell you to boost your mids - fair advice, but what they don't realize is that, even with the controls set to where it looks like you're boosting mids, you're probably still scooping them. This is perfectly understandable - a bass guitar without any eq is a mid heavy instrument. Anyway, when you start working with eq pedals (like the one I referenced), They don' t have baked in mid scoops - you find that you do want to scoop low mids a bit (not a lot) - that gives you the same result as many amps with what looks like mid boost. Anyway, enough of that.
On a pedalboard, you don't need a power amp, you need a DI as your "output stage" - you can let FOH supply one, gut if have your own, it's one less variable in your sound.
The point of al this is that you are responsible for sending a good sounding signal to FOH - if what you send them sounds good when they bring up a fader without doing anything to the signal, you'll be a hit wherever you play (and you get called back). Your job ends at the xlr - do it well up to that point, then leave the rest to the other folks on your team.