I think you have the right idea about doing everything backwards for the opposite side. Basically, on the same row you bound off on on side, you want to match it, mirror image on the other side. It may mean binding off on the purl row. If it's impossible to do it the same row, then do it one row later (or earlier).
Yes, "with right side facing," in stockinette stitch, means the knit-side is facing, and you'll begin with a knit row.
KnittingHelp Queen Bee
"There is a vitality, a life force, an energy, a quickening that is translated through you into action, and because there is only one of you in all of time, this expression is unique. And if you block it, it will never exist through any other medium and it will be lost. The world will not have it. It is not your business to determine how good it is nor how valuable nor how it compares with other expressions. It is your business to keep it yours clearly and directly, to keep the channel open. You do not even have to believe in yourself or your work. You have to keep yourself open and aware to the urges that motivate you. Keep the channel open."
— Martha Graham