can't speak for the WAV4, as i'm the lucky owner of a Czech-made NS CR5M, but as far as your quest for (effects) tone goes, universe is constantly expanding, and sky's got no limit, though your wallet may, sadly.
in my experience, dirt is a strange beast when applied to low end, and someone's choices told to YouTube as the inspiration for my choices always led me to a massive waste of time, and money... your touch, the way your instrument's setup, your kit, and especially your room, will yield to totally different results than what you (think you may have) heard on YT.
to my ear, distortion on a lower-pitched instrument can take out much of its impact and force, beside the very fact that not all stompboxes designed for guitar and guitarists actually reach down in frequency as low as your WAV4 calls for. whatever the dirtbox i want to try to use, that's my 5 cents hint here, try to have a blend control that lets you add of it only as much as it can colour your tone to your taste, without sucking the attack out of it completely.
it can be something as cheap as a Boss LS-2 Line Selector, though it is quite effective at that (used as A+B mixed/bypass), or something seriously expensive as a Lehle Parallel L (or Parallel M, i always trick myself with understanding which one has the footswitch and which one does not), but a blend control is where whatever distortion to your bass sound can become usable.
some clever preamp that's purpose-designed for adding dirt to bass comes with a built-in blend control on the distortion circuit, like my Darkglass Electronics' Microtubes B7K Ultra, or its sibling Vintage Ultra, but beside their quality (unquestionable, really), you'd be surprised by how good even the cheapest dirtbox can become, if you pass through it only a portion of your signal and not the whole. i have a Strymon Riverside Drive that's meant for guitar indeed, which can take all the low-end of a bass (and an electric upright, too), but to my ear it shines on bass with the blend control (that it does not have on board).
i have an Eventide H9 myself too, but while a good number of its own "recipes" come with a blend control, and it sure can deal with the lower range of frequencies, too, i'm totally disappointed by how its (otherwise great) PitchFuzz™ algo walks away without the Mix (blend) control that the other two "distortion" algorithms Sculpt and CrushStation have.
still, while the H9 offers an easy (and relatively cheap) way to try out a number of different effects, at least if you buy the MAX version of it, although many of these have a quality that "generic" multi-effect units can't reach, it can't compete with the real thing that a real manufacturer has designed and built to its own vision and taste... sure, you might like more than a few of its 500 ready-made patches, but i also know how many of them fall a long way short of what Strymon, Empress Effects, Chase Bliss and Earthquaker Devices, to name just the digital ones, can make happen with their real boxes.
i still have found no alternative to buying, trying, and reselling what i ultimately can't find a use for... my own idea of sound isn't "genre-driven", so whatever i happen to like, or dislike, hardly falls within a category, which doesn't help to take hints from a community that speaks of music styles i can't translate to my own search...
but there's never been a better time for trying out pedal effects, as there's never been so many pedal effects brands and models. not all are suited to your WAV4 or my CR5M, but... a blend makes many of them worth trying, actually!
never stop exploring, good luck with your (sound) journey!
So much to explore and spend money on!
