A clean and press at max singles, requires you to deload each rep (throw back to ground, clean and press again)
But what are your goals with the clean and press. The thing is, you should always be able to clean more than you can strict press. So the loading for the clean isn't heavy enough to illicit power gains. And then if your clean each rep again, you waste energy if your goal is to press more. So if you ask me, I'd just separate the clean training phase into a different session, rather than combine them together.

What is the point of doing the press? IS it to strengthen your entire body? Then do it from the rack as well, because it's easier to position your hands and press fast out of the hole.

IF I was a bodybuilder (which I'm not) I'd rather use the deadlift than the clean to strengthen my back. If I wanted to be faster (Why do bb'ers wanna be faster anyway?) I'd rather use plyos and speed pulls. If I am an athlete, I'd rather use the power clean to increase my power and speed.

For the press portion, if I was a bb'er, I'd press right off the rack, saving my energy and inducing more hypertrophy to my shoulder region. If I was an athlete or a powerlifter, I'd use push presses to increase my tricep strength and power. In fact, if I was an athlete, I'd much rather use push presses with pauses during the eccentric ROM. DO it as such, push press the bar, lower it slowly and pause when your elbows are parallel to your shoulders for about 2 seconds. Then lower it some more, right before your clavicles for another second and then receive and push it up again. This way you get the benefits of both power and strength. Of course after a while you'd have to rotate it.

Don't do a movement, when you don't know what you're doing it for, and just cuz u saw it off youtube or Paul Chek's site.