I watched a special on the making of the schedule. They run millions of iterations of the schedule before coming down to the final version which is then presented to Goodell for final signoff. It uses a list of rules which attempts to eliminate scheduling discrepancies as much as is possible. Each iteration is given a generated grade based upon compliance to the "rules". These rules mark down for multi-game road trips, etc. They also grade up matchups in certain time slots. It has to take into consideration events already scheduled in advance for the venues, network affiliation availability, etc. It was extremely interesting, but also clearly showed that there is no possibility of individual bias, especially on the part of Goodell. His input only involves the approval of rules, which have pretty much been the same since well before it all went completely computer driven, and the final signoff on the single schedule finally placed before him.

Unfortunately, your scenarios, while desirable even in the scheduling team's plans, are skewered by all of the outside factors concerning the venues and broadcast requirements. Events booked years in advance for the day before, during, and after game dates take precedent. Some teams are going to have back-to-back-to-back road games. There's no way around it. Or back-to-back opposite coast games. Although, the rules flag those teams to help avoid the same sort of scheduling "bad breaks" over the next couple of years.

This is all done via simulations and the team simply compares grades and then goes over the entire schedule generated of those with the very highest grades to see if any will make the final cuts.