Service Entry Cable
Sounds like it'll work. A couple of points:
You don't need to put underground cable in pipe, but you are allowed. (It does need to usually be in pipe down to the 24" depth, though.) If you use pipe, and have it all enclosed from box to box, just use loose wire, it's cheaper. You can even use the same color as long as you mark it properly (white electric tape for the neutral at both ends, for instance.)
The 24" is to the top of the pipe / cable, so make sure it's a 26" or so trench.