I might only weigh 180lbs but I do pushups with a 45lb plate or more on my back...meaning I'm heavier than you when I do them
. I don't usually get wrist pain unless I start to drift forward, then my hands bend back and it can be a bit painful after the set is done. I would keep an eye on your form and make sure that your hand and forearm are perpendicular through the movement. The other thing I used to do is pushups off your knuckles (from way back when I started martial arts) and I never get wrist pain from those, just knuckle pain haha.
With the pyramids, don't go to failure if you can. Try and leave a rep or two in the tank and then the pyramid wont be quite as retarded. I don't like those cleans as a pyramid, either someone's gonna get injured or it will turn into reverse grip bicep curls near the bottom of the pyramid. Its too bad your coach doesn't know much, and you really can't say anything to the coach...unless you wanna sit on the bench for a while
lol
Real gym's are full of idiots too. They're usually just a bit bigger than the average person. Typically known for they're tight muscle-shirts and blood curdling warcries during intense bouts on the pec-deck.