DA
Might be very difficult to negociate with schools like that. In fact by the rules it should be, as their course is approved as constituted, so they there is a limit o the changes that can be made.
Morgo
Unfortunately, due to the reasons detailed above, it might be difficult to run a weekend course under extant approvals. I doubt there would be enough take up to warrant any school trying it.
You should be able to do all flight training part time. Talk to the head of training at a school you are considering for this section.