I'm not used to seeing eye drops in containers >3 oz (and wouldn't expect larger than that if multiple containers are being brought on a trip). I'd just put them in the quart sized container and then they aren't supposed to have to do any testing.
I use 'single serve' eye drops on occasion. Those things CAN'T be resealed, but are obviously <<3oz, so I'd have them in my quart bag. If they had to open them, it's as good as confiscating them.