What size do you want the print to be?
What 3D printing technologies are you thinking of using? (FDM, SLS or SLA/DLP are good options, depending on required size and budget)
Those two questions largely determine your minimal wire thickness and surface detail. I don’t think it makes sense to actually model the individual strands unless you’re going to print on a large scale FDM printer. Maybe there is a sculpt brush that could give you the surface look?