Options are limited on Basic edition, I'd ditch it and go to standard Essential mode

However, pick an extension, give it Remote Call Forward, program the after hours service telephone number into a personal speed dial such as 99, and put a Forward-(Extension Number)-99 button on the phone.

When you turn on Night Service, also go to the phone and turn on the Remote Call Forwarding. Set selector code 3 to transfer to this extension, and it should grab a line and dial out.