You really won't be picking at the bottom. Most of the other teams won't know anything about most of the other players. Each team that scouts is told about different players, whose indentity is anonymized by a number. Joe Smith might be #32 on your scouting report, and #4 on mine, and #16 on someone else's.
So the players that you know about as being talented will be passed over by the other teams, simply because they don't know anything about the player, or they will know about other players who are as highly rated, and will pick them instead.