It isn't the number of wraps in the coil, but the length of wire used, that provides a given resistance.

You're using .20, which, assuming you're using A-1 Kanthal, has a resistance of .47Ohms/cm. You're

looking for 3Ohms per coil, which should give you 1.5Ohms total, so devide 3Ohms by .47 and you

come up with 6.38cm. That's the length of Kanthal you need between your contacts.

The number of coils you get should be an afterthought as that will be determined by the length of your

resistance wire, the thickness of your wick and how tightly you wrap.