Parris50
"If you do your bumffich check on downwind, doesn't that mean that you will fine the props a bit early. "
No, the check is that the pitch is set for cruise on downwind, not fully fine. Setting to fine is part of the CRAPP checks I listed.
BlueRobin
I'm speaking as a low hour student who has only just soloed in the last few weeks, so I can only relate what my instructor has taught me to your advice.
(I would not profess to know better than you and I suspect you are far more experienced than I, so no disrespect intended!

)
I've been taught to carry out the BUMPFICH checks late downwind. The carb heat is set on and importantly, left on until approx 300-400ft on finals to ensure no carb icing during the base leg and early part of finals, when low power settings are the norm.
If I was to take the carb heat off any sooner my instructor would beat me about the head with his kneeboard!!