Wow, 1 ft. deep is pretty shallow. If this pond is in full sun all day you may have some high water temperatures.
Lilies really prefer deeper water than that and it would be better for the fish as well.
Its not so much water movement or current that lilies don't like, its splashing they don't like. A gentle current or movement is not a problem for lilies.

I will be using a Perry's Baby Red, which is a dwarf water lily. Dwarfs should be placed in 6 in. to 18 in. under water, right? I see your point about getting too hot and I will for sure keep an eye on it.
Regarding the water movement, I will have no splash, just underwater current.

For a small pond like you describe I have found the pondmaster 190 kit (part number 2019) to be a good fit. It is a one piece pump and filter. It comes with an optional aquabell attachment that you probably won't use.

I have a very small header pool on top of a stream that used to get a lot of sediment in it. I put this pump/filter in there without the attachment and it just discharges under the surface. The turbulence is minimal and it has really helped the water clarity.

My $0.02: make the pond as big as you can now, you will never be sorry that it is too big.

Here is a link that might be useful: Pondmaster 190