Fun project!! It is going to be awesome when its done. You'll be want'n to relax near it all the time ... before ya know it, ya need to buy more beer!!
50 foot long * 2.5 feet wide * .167 feet deep * 7.48 = 156 gallons. A 300 gallon stock tank will work fine; this gives ya approximately 2 inches more potential depth added to your stream if you want to really throw alot of water down it with a big pump.
How to determine the rating for a pump. Quick example.
Aquascape Tsurumi. It is rated for 3630 gph but look at the flow chart. Flow loss occurs with increase head height pressure. If your head height pressure is 12 feet, then this pump's flow is reduced to around 2700 gph. All pumps should have a flow chart in the pump's product description. I have a little
dinky water feature and the stream is approximately 30 feet long ((heh, just now went out to step it off)). With my pressurized filter and my plumbing, my head height is close to 15 feet so, using the pump mentioned above, my flow is around 2000gph.
The flow rate definitely determines the depth of the stream. I built my feature so I can divert some flow into the reservoir and, when I do this, I can tell by looking at the stream's rocks that the depth definitely goes down. I am really wanting to double my flow rate to get more depth. That picture is pretty old. I have some taller granite rocks so to allow the water splash around good in the stream and has added some depth to the stream.
Flexible pipe will allow you to possibly reduce head height pressure by not having to use as much plumbing joints.
When choosing pipe size ... To help ya determine friction loss due to pipe size,
PVC Pipe Friction Loss and Flow Velocity ... For recommended flow rate due to pipe size at x% PSI, bah, I found a good chart and, son of a, forgot to bookmark it. I would stick to at very least 2 inch pvc.
I have 4 pond-less water features in my front yard. Each has their own basin. After I dug my hole, I lined the hole with some thick heavy duty weed liner as the underlay; then I added 2 layers of pond liner just to make sure they don't get torn. Then, put in some plastic crates. I put my submersible pump in a crate and I cut a door on top of the crate so I could easily get the pump out. Then, I covered the top of the crates with some rock. I did this for each of my water features. I have not had any problems with the pumps getting clogged at all. I suppose the rocks act like a filter, preventing the big stuff from falling into the basin where the pump is. I don't know much about external pumps. I've always used submersibles.
Some stringy looking algae will eventually form in the stream. It will take long time, but it will grow eventually on it. I like it as long as it doesn't get too thick. If it does get too thick, then I sparsely hit the stream with a high pressure washer.
I built big berms on my stream, around 8 inches high; it would take a bunch of damming for water to actually overflow out of it. I got my pond liner extended about two feet extra from the berms on the outside. For my pond-less water feature, I extended the liner a few feet from the basin.
Make sure to make the basin's walls at the right angle so absolutely all of the stream's water returns to the basin, instead of dribbling out of it.