Thank you, thank you for the helpful suggestions. Time is of the essence here and if I only had 20 or 30 of these triangles to make I wouldn't mind drawing the lines but 1000+ is quite a lot. I only have time to quilt on weekends so I need to get moving. When I started quilting I told myself I will finish one quilt before starting the next and I've been able to stick to that and I don't want to put this one aside.
I'm going to try one of the masking tape methods as that will eliminate the long drawn out task of drawing lines over and over. Or if that doesn't work I may try a few by cutting first and then, yes, sewing on the bias as mom-6 does. at 3" will they really get that distorted?