I don't know any reason more typical bicycle spokes wouldnt' work without washers on that motor--on much bigger motors, like the MXUS "3K" or "3000" "45H", you would need larger washers or redrill the flanges for smaller spokes (I have this issue presently, on my SB Cruiser trike, and will probably be drilling rather than washers).
But even if you found that you did need washers, most likely you can just use some from the hardware store; I used some regular stainless steel washers from Lowes or HomeDepot (forget which) to lace up the rear wheel on my CrazyBike2, which also had large spoke holes.
If you were using a tougher rim then the thicker spokes could easily be properly tensioned and stay that way, but I really suspect that the reason your spokes break is because they get loose because the rim is not strong enough for that size spoke, and deforms.
If you check carefully in sunlight around the spoke nipple holes in the rim, you may find cracks, like these:
https://endless-sphere.com/forums/viewtopic.php?f=2&t=12500&hilit=crack+nipple+rim&start=875#p796519
https://endless-sphere.com/forums/viewtopic.php?f=2&t=12500&p=625212&hilit=crack%2A+rim%2A#p625212
This is what happens when the spokes don't stay tensioned.
https://endless-sphere.com/forums/viewtopic.php?f=2&t=12500&p=752897&hilit=crack+nipple+rim#p752897