Not CT, but interesting topic
Your question sounds as if you were still under study to determine the causes of your disorder and the final diagnosis. Those two are of utterly importance so you can make up your mind (together with your doc) about how are you going to proceed with your training.
No matter how strong, lean and fast you can get if you could end up getting a hypertrophic cardiopathy (the bad one) or cardiac insufficiency. But if the cause doesn't get worse or kidney/heart are not affected with weight training go ahead. Just get a good doctor, also talk with a sports medicine doctor as well as with a sports physiologist so you can make an educated choice.
Hope this can help you a little bit