NEC table is made on basis that the specification for application (usage) was already defined by the engineer.
Who defined the spec in your case? If nobody then you have to gather some general info and from that draw a hypothesis as to what "usage" should be spec'd, then use the NEC table. The table simply maps "usage" to cord types, etc.
Next question is, are you doing 4,000ft or 25ft of cord? If just a few feet then price should be of little concern, w/o trying to figure out which one you can just choose the heavy 600v cord.
I have 600v extension cord for a 240v welding machine, i find it to be a pita because it's heavy, but, it moves around a lot, things land on it, it takes some abuse, etc etc.