I've got a 75g with 2 gourami, various rainbows and a small honey gourami. I added 3 ghost shrimp a few months ago which were pretty small. My tank is lightly planted with a stone cave as well.
For the first few weeks I rarely saw them with the lights on, but over time as they grew I saw them more....but only 2 of them. I assumed the 3rd one either turned into a snack or died during the introduction period.
Well here we sit 2 months later and last night I saw all three (pretty full grown now) at the same time. None of my fish, gouramis included, seem to take notice of them and if they are fighting for the same low lying food someone always backs down without a fight. (normally shrimp)
So I guess I am trying to say that while your situation could turn out differently I've got proof that it can turn out ok with the fish & shrimp you mentioned.
That being said, I don't hold out much hope of breeding the shrimp, as I think any of the newborn shrimp wouldn't last long enough to mature. My tank becomes a feeding frenzy when I treat them to a dinner of brine shrimp.
But in adult size the shrimp & fish co-exist just fine.