308 is a little big for coyotes.

I shot some Remington "Accelerators" a few years back. (sabots with .223 bullets) But if I recall they didnt shoot very good.

My Hornady book has loads for a 110gr. bullet. Max fps is about 3200.

Ive never seen factory loads for bullets that small. Next size up is 130gr. You might could work up a load for them there little ole Texas deer that might be good with that size bullet also.