Ive got some info that might be helpful. I took some info from a known coil. It was wound with 60 turns of 2 x 18 ga.
I measured the cross section and came up with an area of .480" x .625" = .3 sq inches.
Then I calculated the cross sectional area of just the conductors 120 x 18ga(.043 diameter) = .174 sq inches.
From here we have a ratio of the coil section -vs- the solid conductor section ~ 300/174 ~ 1.7
This number may tell you that your coil cross section will be about 1.7 times bigger than the solid conductor equivalent.
For your coil, figure the cross section of 70 strands of #14...then multiply it by 1.7 ...and that is an approximation of your coils section. Divide this number by the 1/2" for thickness and youll get your width of your cross section.
Cut out some cardboard models and see how they fit.
Another note on your coil shape: In the radial direction, if your magnets are 2" long, I would make the inside (air-core) of your coils about 2-1/4" to 2-3/8". Then make the arc width of the inside shape...so that all of the coils fit together like slices of pie.
You can play with sketches...but eventually, you just need to wind one up, check it, unwind it, adjust..repeat.