yup. all signs point to "your fit is off." you need to put less weight on your hands and move your hands up and maybe forward or backward, can't tell with elbows.

aluminum frames will only make your actual hands hurt because your grip has to compensate for chatter, and your lower spine and butt hurt. again, chatter.

beyond that, even the lowest quality aluminum bike won't hurt you if it's fit properly.

also, carbon fiber is NOT the answer to everything, especially carbon seatposts. especially cheap carbon. cheap carbon is likely to be just as stiff as aluminum in the wrong areas and just as compliant in the areas that it shouldn't be. carbon weaves are extremely stiff in one or two directions, and flex a LOT in others. unfortunately, to get those properties where you want them, you have to design the part extremely well and most cheap carbon parts are not designed well. they're just made out of carbon because people will pay a lot for it.

you are aware that leaders are very long and low? have your stem short and bigger rise than normal and make sure you fit your saddle position and crank arms to your legs.

that said, ride more carefully and with more weight on your feet instead of your hands.