Well, by "black composite stock", you are comparing apples to oranges between the 1100 and the 1187.
Currently the
"black composite stock 1187" is the Model 11-87 Sportsman Synthetic. The gun is matte black and has a 26" or 28" standard contour 3" field barrel. It will cycle target loads, but not the very lightest ones. They will reliably cycle Mao Mart 2-3/4" 1-1/8 oz 2-3/4 or 3 dram loads. Many will cycle lighter loads, but some owners have reported their gun will not. (The best 1187 field barrels for lighter loads were the polished blued light contour models, but that model has been discontinued.)
The current
black synthetic stock 1100 is the Model 1100 Competition Synthetic. This gun is set up specifically for target loads. I don't know how light of a load they will cycle, but for sure they will cycle lighter loads than the above 1187 field gun.
There is a steep difference in the price of these two guns. But you get more bang for your buck for a target gun with the 1100 Competition Synthetic.
Keep in mind that there are good used 1187 Premiers (polished blue and wood stocks) out there with 26" or 28" light contour barrels for reasonable prices. The money saved over new will more than pay for a set of black synthetic stocks. And there are monte carlo slug gun stocks in black synthetic that will give you a better POI. I've installed adjustable combs or monte carlo stocks on all of my 1100s and 1187s, including the camo models. I've found my light contour barrels will generally cycle loads a bit lighter than my standard field barrels.