Hey Sean,
Good questions, but its almost like asking how long is a piece of string.
If it was me and it sounds like you have a stack of them I would probably try selling full sets at first and if you don't have any luck then move to team sets, although some teams are unlikely to sell but some will probably get you a bit more than others.
I like the idea of putting sets together with lower grade cards and selling higher grade individually.
It is tough but I think moving a bulk lot will save you time and effort especially if they are fair / poor.
Good luck,
Ross