Nick , I use what is called a zero flute bit to cut acrylic , cuts clean and does not melt the acrylic but you need the speeds and feeds set properly . Best part is no liquids needed to keep things cool so MDF spoil board doesn't get messed up .
zero flute bits
IIRC Jack Wells cut a few bodies out on his scroll saw years ago just to show it could be done , I don't remember him having any issues other than it was a bit slower than using his band saw .