I had totally ignored this type of pedal and now I wish I hadn’t. There’s a few combination preamp/overdrive/compressor/DI pedals now that look awesome. Primarily to me look great for running in to a DAI to provide tone shaping, however theoretically I guess if you were always playing places with PAs you wouldn’t even need an amp, just run out of their DI. Except for that hearing yourself part anyway 
Some look amazing for quiet practice too.
The two at the top of my list to look at right now are the TC SpectraDrive (basically, a SpectraComp, a TubeDrive, a BH550 preamp, a headphone amp with cab sim, and a DI all in a pedal), and the Ampeg SCR-DI (basically the same except instead of a compressor, it gives you tone options to sound like an Ampeg SVT.)
These would fix any problems with tone going in to a DAI, much like taking the DI out from an amp would. I am actually seriously considering the Ampeg, but that’s mostly because I already have a TC amp. Or will, when they fix it
https://www.sweetwater.com/store/detail/SCR-DI--ampeg-scr-di-bass-preamp-with-scrambler-overdrive
