Hello Winter,
I did not want to seem cold so I will chime in. (-'
Why are you not buying commercially made 10mh coil/chokes? The frequency of a LC theremin is not critical between 200khz and 1mhz. Tune your osc circuit to match the antenna coils not the other way around. In my own research I have found the higher the theremin frequency the better which can eliminate antenna coils altogether. You're going to have so much thermal drift with the circuit approach you are using that antenna chokes should be the least of your concerns.
What you are doing now is getting your feet wet, finding out why so many fail at theremin design and talk talk talk. From this experience you will have great respect when you build a good design and there are not many. Are you after a controlled whistle or an authentic sound? For a controlled whistle use a keyboard as the authentic sound is what puts the theremin in a league of its own.
If a theremin design requires noticeable reverb for the sound to be good it has already failed due to a lack of even harmonics.
Christopher