Raccoons out during the day don't nevessarily mean they're sick, the chance is just heightened. If woken during the day for whatever reason, they'll be out during the day.
Raccoons that carry distemper, rabies and other transmittable diseases will also be out during the day. Watching behavior is key to telling them apart.
I've had many seperate instances where I've seen raccoons out during the day, mostly in my yard. One was walking around acting normal, when it saw me it ran. I figured this one wasn't sick, but I still shot and disposed of it anyways. Another one was walking in circles and shaking violently, which I knew was sick. I went up to it with my gun and it didn't run or anything, once I got about 6 feet away it went up the nearest tree(to the best of its ability) and I shot that one too.
Not only do they carry diseases easily transmittable to humans and other animals, they are prone to carrying parasites too, usually spread through the poop. I shoot every single raccoon I see, no exceptions. They are considered pests( at least where I live) and you're allowed to shoot them on sight if they are or about to cause damage to anything on your property.
I'd shoot them personally, but if you don't want to shoot them, trap them or something. They will be back I can guarantee it.