The only differences between 2-3/4" and 3" 1100s are the barrels and the action sleeves and the recoil pad. The receivers are the same except for the rollmarking. The 3" barrel has one gas port, the 2-3/4" barrel has two, and the ports are different sizes. The 3" version has a heavier action sleeve. Note: Remington no longer sells Magnum action sleeves. If you ream out an 1100 barrel to 3" I have no doubt it will function; my concern is it will function so hard it may crack the receiver.
Remington sells 3" chambered 1100 barrels as steel shot only barrels when used on 2-3/4" guns.
1100 and 11-87 barrels are not interchangable.
The differences between a 3" and a 2-3/4" 870 are the barrel chamber lengths, and the ejector springs. The receivers are the same except for the rollmarking. The ejector is riveted into the left wall of the receiver on the inside, and the receiver and rivets are finished as a unit during manufacture. A 3" barrel will fit on a standard receiver no problem, but it may have problems with ejection, because of the ejector spring lip location.
If you want a 3" 1100, my advice would be to buy a used 3" Model 1100, since you can no longer get the magnum action sleeves, which is what I got when I put the 3" barrel on my 2-3/4" gun. I have a friend who owned a machine shop, and he made a new action sleeve for his, but that is the only self-made reliable conversion I know of.
With an 870, I think the ejector is relatively easy to modify to the 3" configuration, but some people don't agree with me too strongly. But with an 870 you don't have to worry about a gas system.
If you have an 11-87, I guess I don't understand what you are trying to do, since an 11-87 wiill take 3" and 2-3/4" shells interchangably to start with.