Yeah, while technique can help with a lot of things, if your rig isn't setup to properly trim you out there isn't much you're going to be able to do. In my Intro-to-Tech course we spent 3 dives making small adjustments between wing and backplate adjustments for the tanks before finding the hole positions that worked best for trimming me out naturally. Most backplates have 3 hole positions you can run the tank's bolts through. If you're in the top, move it down one. If you're using the middle, move it to the bottom. Similarly, many wings can also be positioned in multiple places. These adjustment options exist because they need to for proper trim. Not everyone will trim out in the same way using the same adjustment positions.
An arched back, head up, and feet and arms out can only do so much. Sometimes the answer is to fix the gear. If your instructor doesn't understand that I'd be worried about what else they don't understand.