Eóin,
I sketched this out just for fun from the dimensions you gave of the magnet size along with the steel backing plate thickness. I guessed at the magnet angle along with the spacing between magnets but I think I'm pretty close.
If a linear design was considered I wanted to see the difference between lining up the coils to the angle of the magnets compared to keeping the coils at a right angle to the plate.
Using the common 3-4 ratio of coils to magnets you can see how the pattern would repeat.
IF the magnet poles are positioned N-S-N-S and you were able to somehow mount the plates inside a rectangle steel tube by taping the holes in the plates you might end of with something like this. As Fabricator stated this may be a very difficult thing to pull off though. In the US 5" OD x 2" OD x 1/4" wall steel tube is available which are the dimensions I used in the sketch below. The green rectangles are made from plastic such as UHMW, mechanically attached from the outside and used to center the stator which could be made with a conventional cast method. Grease the plastic rails and you're good to go.
Just my two cents. Not sure how much back and forth travel would be needed, how fast it would need to move, how much it would vibrate and rattle or even hold together. Or the big unknown how to use wind power to shake this thing.
Would be interesting to give it a go, maybe start with a smaller scale first.
As a side thought, Is there a slotted steel rail this mates to that's similar to a stator core of a motor.
Have fun with it,
CM