Go ahead and email them, some are on break some are working.
Yes, many schools have “skills” support (not sure which schools you’re wondering about specifically). I have friends who are teachers at some of the schools mentioned here and they’ve worked in academic support which has included helping kids plan when their homework will be done, etc. I will add, the kids are not forced to follow those plans and many do not.
I think you might need to start a survey of sorts of how much support you’re giving your son now in terms of keeping track and getting things done. What will happen when he also needs to cleans room, so laundry, manage all his time, get up on time every day, etc. It is a big deal and requires a lot of self direction from the kids. Only you can guess if your son will grow into it or possibly needs another year at home.
It is a hard decision!