There are only a few special areas in the system authorizations, where giving the user more authorizations will result in less access.
I am not aware that this area is one of them.
Sorry, you will need to restrict the other roles and potentially also create a new one for the job admins who should be able to schedule higher priority jobs.
I remember having read something a long time ago where on 46C you could specify the name of the server on which created background jobs would run when the user scheduled it, and this setting was server specific. The idea was to isolate the server on which they would then ran, so that the others are protected from the load. Whether that works at all or anymore, I am not sure.
If that is at all an option for you, I will see whether I can find it.
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