Oh, I know how that feels ... is hard sometimes not to feel freaked out when your kitty has a bigger drop than you're accustomed to seeing.
Yes, I think you're probably safe to feed, then shoot, then check in a couple of hours to see how his drop's going. Sometimes, when I've been extra-concerned at night, I just set an alarm to check at +4. (William would have to drop, like, 163 points to be at start of hypo zone.) If you were to get down around the 80s or 90s, you'd just steer him with some extra food. That's what I've had to do with Bat from time to time. (See my SS.) Then in 15 minutes when I recheck her, her BG has risen to a place where I'm not worried about a crash.