Space mt and Buzz are both usually open during EE, along with Fantasy land. I would just try to hit Autopia early in the day, right after EE and you'll be fine.
Autopia does have FastPass, so that is also an option, but I have experience excessively long waits in the FastPass return line and I do not like using FastPass at Autopia unless I have no other choice. Instead, I try to do it in the morning.
I've had the same luck with fastpasses on Autopia -- there was nothing "fast" about it. They just sent me to the regular line. So I wouldn't count on using fastpass there.