I think if you just email NCS and explain the situation to them, they can help. They seem to be quite accommodating, especially when mental health is involved, so they will hopefully be able to move you two to the same date so you can be together. But if they can't do so, I think it would still be a great experience, it may help you realise some social situation aren't as bad as you thought they would be and you could make new friends also.