[the phantom]

After the third round you will only be allowed seven trades (i.e. four of your players must stay), so you do not under any circumstances want more than seven players on your team in this round whose teams have already been eliminated from advancing. The following teams have already been eliminated-
Misty Mountains
Lorien
Doriath
Wold
Minas Anor

If you're looking for safe picks, the following teams are already guaranteed to enter the playoffs-
Mithrim
Utumno
Valimar
Gondolin
Gondor
Tirion