Ive figured out a way to get some results from Nylon without a heated bed. For starters, I cover my bed (square acrylic bed of an Ultimaker, but you guys with your round glass plates should be able to figure out how to do this) with blue painters tape, wrapping a good inch or so around to the other side to try and keep the tape from lifting up. Then I try to outline the shape of the object as best as I can with 4 strips of Kapton tape, 2 running along the outer x limits of the part, and 2 running the outer y limits, though if you want you can get more angles in to create more of a octagon shape or something around your print, anything really helps. Then I take 100-150 grit sand paper and give the blue painters tape area where my print will be a good rough sanding. Lastly, I print really really close to the bed, far enough that the first layer gets laid down, but just barely (my first layer height in Slic3r is .3, but the nozzle ends up being closer to around .2-.1mm off the bed). so far it is working, though I have only been able to test it on a long skinny part. unfortunately I am unable to show any pictures at this time of my setup, but hopefully people can guess what I mean.
Good luck, happy printing
(The nylon I am using is 2.7mm ACE brand trimmer line, the Taulman 3mm is too big to use, though I would imagine that the taulman wouldn't be much different)
(The reason I am using the Kapton is I have a bit of a theory that part of the reason the blue painters tape lifts up so much is because the heat from the laid down material lowers the effectiveness of the adhesive on the tape. I have no idea if this is true, but I know Kapton is high temp tape, and its adhesive certainly performs better at high temps than blue painters tape from my experience)