There are three issues here, that I see, with respect to safety:

#1 - Visibility.
Swimmers die all the time, when those watching lose track of them, and can't see them. This is the risk that cloudy water increases. You'll have to judge how much of a risk it is with your pool and your kids.

#2 - Sanitation.
With your chlorine at 'orange' and your algae dying or dead, you can consider your pool as sanitary 24 hours after all the algae died -- if you have ALSO brushed the pool, and stirred up and killed any pockets of algae and other stuff.

#3 - Excessive chlorine.
High chlorine is almost never high enough to be an actual DANGER, but it can be high enough to be irritating. Chlorine at 'orange' (15 - 30 ppm) is high enough to irritating to some people. My guess is, with your CYA that high, it won't be. But, you can let them swim for 15 minutes, and then take them out and see if there's any itchiness or irritation. (Kids often won't notice, while they are in the midst of having fun, so you do need to remove them from the pool, to check.) If there's no irritation after 15 minutes, try an hour.

But, I would recommend old or no swimsuits. Chlorine that high can damage swimwear, particularly women's fashion suits.

So . . . you judge.