In reply to Cneifion Arête:
Fill us in on the details - you've progressed from scrambling to rock climbing/alpine climbing? What sort of water sports do your parents want - surfing, kayaking, sailing, fishing?
With that budget, I'd try to do a deal with your parents. You agree to get dragged along to whatever luxury beach hotel they decide upon, as long as they fly economy class and spend the saved money on sending you on a good week long Alpine climbing course. Then everybody's happy.
Edit and P. S. : Big mountains do of course involve a good deal of long and steep walking...
Post edited at 00:02