Sorry this one is going out so late, I'm really busy during the week. Most of them will be coming out late during the week, but fairly early on the weekends.
Anyways, I'm sticking with the random number generator for the week (as its the fastest), and the weekends will be the ideas you suggest.
https://www.mut.gg/23/lineup-builder/65098338-dbc6-4d90-898a-292ad0d232e8/
