Isn’t there an aftermarket hold down ring suitable for the AF3p ? It seems that would be the top spot approach. I bought an aftermarket hold down ring for my SL-1200G just for this purpose, works perfectly every time. Try Wyne’s Audio in California,
https://www.waynesaudio.com/product-page/universal-turntable-outer-ring-ss-2 , see if he’s got one, or if he can make one specifically for the AF3p. Good luck.
/ Jk