That's normal. Blood runs off the water and onto the walls. For all we know, one of your dwarves bathed in the river, and that blood is now flowing down. Water acts strangely with blood and other contaminants, and I've actually seen blood travel upstream during a pump experiment.
I think water can push big FB/Titan/etc. Not very well, but it can happen easily enough. The trick is to actually get them into the flow. The way water works, when you have 3 layers of 7/7 water, and open a hatch at the bottom, the lower levels don't move, but the upper levels teleport down to the bottom. So, instead of pathfinding HxWxD water flows, it only has to path HxW for the top-most layer. Once that water hits flat ground, it then splits itself into smaller 1/7 or deeper over multiple tiles. This split water is a flow, and will push things.
So, water under pressure doesn't move anything, but free-flowing water does. This does put a very real limit on the flow force, as it can only ever flow as fast as it naturally spreads out. Still fast enough to push a FB off a cliff if timed right, but not fast enough to fling cows 20 tiles off wall segments.
The interesting thing about what you say is that I inadvertently did exactly that. Earlier in this fortress, I was on the forums asking about how I killed a few of my miners, and the general consensus was that I mined out their exit. Since I didn't want anything to do with trying to fix that area up, I just let it be and started a new mine shaft further away. This old mine shaft is where I led the water through, and it has plenty of room in it to alleviate any excess pressure--despite the fact that the river I diverted water from is almost completely dry beyond my channels.
What I have now is water punching through to the old mine shaft at a depth of 7/7, splitting off between the old strip mine and the intended exit, then pouring out at about a 3/7-4/7 depth in about three places. I now have two FBs lurking down there, and one has been routinely walking up to the water, then slowly moving back. I still can't tell if this is by choice or not, but the area is VERY slowly filling up with water. I figured out how to to use the export image button (which is an amazing tool), but I'm pretty terrible at linking pics to forums, as I'm used to only being on forums that allow me to export directly from my computer and not from an image hosting site.
Will it say in the FB's description if they can fly? I see no wings in their "wounds" section. Also, there needs to be more detail on FB's in-game--make it more intuitive. I would have never figured out they were amphibious were I not told here.