If the coil's purpose is not to generate the magnetic field then I do not know how to optimize them, because "optimize for what ?"
Optimization of coils's construction for the generation of magnetic fields is done by minimizing the inter-turn capacitance and inter-layer capacitance and minimizing resistance while maximizing the number of turns. Transmission line effects also play a role.
Basket weaves are examples of such optimizations.
Your aim with wire choice is to use the highest gauge for maximum resistance per foot and to use as much of it as possible within the space available for the coil.
The text above suggests winding thousands of turns with a very fine wire. Such construction produces coils with HUGE inter-turn capacitance and inter-layer capacitance as well as a large resistance. The opposite of what would be needed to generate magnetic fields efficiently.
When you apply a high frequency HV pulse to such coils, high electric current flows through these capacitances - not in the copper wire !
At high frequencies these capacitances dominate and the coil behaves more like a capacitor than a coil.
This begs a question - why bother with a coil at all ? Why not build a good capacitor instead ?
It is done by applying the highest voltage tension possible across the largest ->mass<- of copper or other non-magnetic material, with the ->lowest non-zero current<- possible. For the tension to have the required effect on the copper you need only the smallest amount of current.
The text above begs another question. What limits the current flowing in/through the coil ?
If it were not for the inter-turn capacitance and inter-layer capacitance then the coil construction described in the previous Spheric's quote would limit this current naturally all by itself.
This happens because a large amount of turns means a large inductance and a large inductive reactance that does not allow a high current to build up during the short voltage pulse. Also, the large resistance of the wire limits the current regardless of the pulse's duration.
However, the large inter-turn and inter-layer capacitances of such coil exist and throw a monkey wrench into these 2 current-limitation mechanisms, because these capacitances provide a shortcut for the current of these high frequency pulses, ...albeit not for DC.