Cottontail will work..
High pitched is a good thing.. The coyote just wants to hear something screamin'..
Put ""REAL EMOTION"" into it.. Not just WA_WA_WA...
Make it sound like you are literally being eaten.. If something has ripped your balls, and your thigh off, you will be feeling emotional...
Howling works good in Jan, and Fed.. In areas that have been called alot. (Which is most areas).. Try to think of something different to "say"....
Turkey, squirrel, fawn, kitten........
Howling, and rabbit distress are good longrange sounds.. Alot of people call for 30sec., wait for 4 min., call for 30 sec., wait for 4 min., repeat, repeat, repeat.. Alot of the time I do too...
A real good option to that scenario is to call quietly for 30sec., wait 5 min., Let'er rip with all you've got till you're out of breath, and wait for 15min., give another call quietly, and watch for a few more minutes..
The waiting quietly for 15min. or so is what is different.. The critter has heard you screaming, has homed into where you're located, and is starting your way...
The actual rabbit is not going to scream for 30 min. I've only heard them give a few screams actually..
"Coyote callers", scream for 30 min..
Traditional archers sometimes say, "become the arrow."
What you need to do when calling, is not so much as calling coyotes as,..........
""become the rabbit.""
Sound like your left ear has been tore off, along with half the hide along your back....
One of my most common hand calls is a cow elk call.. When I use them for predators, I make extreme high pitched screams..
Go Gitter Done.......
Toot