I recently tried a build that use a crossbow with versatility and markman, it is really nice. Accuracy should'nt be an issue as long as you put every point in dex. (it was not an issue on Dominating, so i'm kinda confident for you)
Note that you should also use a bolt quiver, to get the AP cost to 14.
You'll be using tranquilizer bolt a lot, along with shock bolt and incendary one for extra CC. You can also make black dragon poison bolt when dealing with psi user.
Note that with your dex, you should also get a bit of throwing, and it could overlap your special bolts. You'll need carefull planning in regard of utility slots and quick pockets should be mandatory.
However, if you acknoledge these things and plan accordingly, you'll manage. The tranquilizing bolt + Flashbang combo should give you Plenty of long duration CC that will ease your life.
Also, you have a light move and shoot and close quarter penalty with crossbows, be aware, it won't be easy to use both in some occasion.
On the other hand, chem pistol is a really nice combo with versatility. But you should certainly think about cooked shot if possible, will help you a lot and maybe even sure step, wich will allow you caltrops abuse as well.
Chem pistol is certainly a bit more straightforward for your build, but crossbow might work as well. I would go for chem pistol as you'd benefit from dexterity and utility slots won't overlap with nades.
https://underrail.com/forums/index.php?topic=4783.0You can look at this play through in dom with a very similar build to yours.