I have a pair of bolivians, and they tend to be less aggressive than the blues, and once I added them, my ghost shrimp disappeared... but also, my tank isn't too densely planted, so maybe if there's enough places to hide it would be okay?
The rams will gobble up any amanos they can find. Like Lymore said, if you want them in the same tank, you'll have to have plenty of cover for the shrimp. Moss makes a great choice, but that means that you won't see much of them - they'll spend most of their time hiding.
Smaller fish would make a better choice if you're concerned about your shrimp. You could put a ridiculously beautiful cloud of cardinal tetras in that 110. I have 7 Endlers in my 6-gallon tank with about 100 (mostly juvenile) red cherries. They smallest shrimplets hide out in the moss where the Endlers can't get at them, but once they get bigger than 1/4 inch or so the Endlers ignore them completely.
Yes, they will probably eat them. You'd have to have a huge reproducing population of shrimps to avoid over-predation on them. I'm not a big fan of shrimp, so my advice would be get the rams anyway, who cares about the shrimp? lol...
My GBR's terrorize the juvie shrimps but the 1" adults can hold their own ground. In a large enough tank an alert shrimp is way quicker than any GBR and after a while the rams give up (also because I keep them well fed.)