Hey Modelnut,
I'm no modelling chemist but figure I've encountered all the problems superglue can pose and have at least reduced my disaster scale by 75%. First, I'm not sure what you mean by "regular tube superglue; I use stuff in tiny bottles (1 oz. and 2 oz.) by Mercury Adhesives and/or H&D. It comes in various consistencys from extra thick to extra thin. In my experience the thicker it is the faster it cures although I also note that less is better (and faster to cure) I use mono for rigging as well and find that using CA Accelerator makes the whole process relatively painless. The stuff works instantly and does not appear to compromise strength or durability of the bond.
Last, applicator selection is important. I use pins for smaller thicker applications and for the thin stuff little applicators fashioned from sewing needles. Simply cut the "eye" portion of the needle to produce a "U" shape at that end, pop the sharp point into a piece of wood dowel for a handle, and you're done. The open "U" holds a bead of thin glue which "wicks" onto your part when contacted. These work really well for the rigging process, I use brass tubes at the terminals like most and the applicator touched on the mono where it joins the tube wicks into the tube thus cementing the mono to the inside walls.
Sorry for the long winded reply; some others may have better directions which I look forward to, Ca is an aspect of building I'd like to get better at! If the "Applicator" is still puzzling let me know, I can pop a quick photo on here.
Cheers,
Lance