UPDATE
So I just built a new coil. Came out to .34ohms. I stuck the leads through the posts, and then wrapped them up and around the screw heads. It is about as solid and tight as I could possibly make it.
I think you are right about using the 32g nickel, but it's all I have to work with right now. I did snap a lead on my first attempt, but the one I'm running now seems in tact. I still have to pull my battery and replace it if I don't want the wattage to jump around, but it only solves the problem for a matter of minutes, if that. However, with this new coil, it seems like a more steady vape, even when then wattage is jumping.
I'm going to roll with the punches for now until I get a lower gauge. (the reason I wanted to get a higher gauge was to avoid having to use more wraps - I like using less wraps because it is easier to manipulate the coil, while also staying neatly in between the post holes) So like I said, I've been running this coil now for 10min and I am getting better results, even after leaving my mod idle for a couple of minutes. Maybe the wattage jumping around isn't affecting it as much as I initially thought, even though it does seem like odd behavior. 420 degrees, .34ohms, 15watts does not seem like an unreasonable request - I wouldn't think that the temperature control would need to work that hard. That said, I know that there are many external variables that affect temperature - lik ehow wet the coil is and how hard I draw.
Thanks for everyone's advice. Hopefully this new coil keeps putting in good work. The beautiful thing about temperature control is that, in theory, I just easily be able to run this coil until I get new wire.
Try a 2 or 3 strand twisted, 3mm, spaced, with that 32ga.
Shoot for around .15 ohm