If they can go 2-4 or even 1-5 they could still pull it out and make the playoffs in the AFC North. They would have to go either 10-1 or 9-2 in their final 11 games. Not impossible as their final 3-games are against Saints, @Washington and @Steelers.
So if they go 1-5 in their first 6 games and then go 9-2 the rest of the way that is a 10-7 record which should put them in the playoff picture. They could go 3-3 also with three very winnable games against the Steelers, Panthers and Falcons. You could even put the Jets as a possible toss up and the Browns could go 4-2 to start the season only losing to the Patriots and Chargers. The first 6 games actually plays rather well for the Browns.
But it is the Browns so they will probably go 1-5 or 0-6. If they go 0-6 they basically can only lose 1 game of their final 11 games. But still at worst they are going to finish around 7-10 which would put their pick in the 10-15 range.