You have got it nailed, except for the 5s. With the hevi shot #6 is good and I don't think you'll be happy with the patterns of the 5s, especially with the 20 gauge.
I am looking forward to your patterns!!
As for the "best" option, in a 20 gauge, it would be the PG .555 and the Federal Heavy Weight in 1.5 oz of #7