Sorry to hear your diagnosis and at quite young age. It’s difficult to advise as there are no easy answers that works for all cases. The progression of DD varies immensely from person to person and can be unpredictable.

There are papers that report a link between trauma and DD and also aspects of (high intensity) rock climbing http://www.ncbi.nlm.nih.gov/pmc/articles.../v039p00639.pdf and many anecdotal stories of injuries preceding the onset or aggravating existing DD.

You are rather young for RT and even then continuing your sport might be counter productive. I think that only you will know, after a climb or whatever counts as practice, whether continuing your sport is aggravating your hands. If it is then I think you will have to find an alternative. But, many people, although likely older than you continue racquet sports and weightlifting despite DD and by taking precautions to protect their hands, although I realise this may not be a good or useful comparison.

On a more positive note although diagnosis in younger people may indicate a more aggressive form, this doesn’t apply universally, and many people diagnosed young don’t actually need treatment until middle age or later.