There are a bunch of mechanical considerations but as far as the screw/motor combination is concerned you want to look at the top speed and torque requirements.
Your torque requirements are a function of the reflected load seen at the motor during acceleration (including things like nut friction).
I've worked on screw driven systems that went up to ~x3 your speed requirements and I've seen others that are even faster. So there's no feasibility issue from a load/speed perspective. There are practical questions in terms of what type of screw to use, cost, accuracy, whether the motor is directly coupled to the screw or not, etc. When very high loads are involved screws are often a very good linear motion solution.
Is there some specific NEMA motor size you have in mind? There's a huge range of torque available from "NEMA" stepper motors. How accurate do you need your linear motion to be? What sort of acceleration did you have in mind? What's your budget? What's the range of motion?