So let's go back in New Browns history (fuck you Modell) and see what would have happened if the Browns used their top 3 picks to only pick QBs. Since we're pretending to not be able to see the future, I'll take the next highest drafted QB as the Browns pick.
There's plenty more bad decisions we could slice by seeing who else was available at that draft spot, but it might cause me to have to start drinking way earlier than planned today.
1999 - round - overall - actual pick - potential pick
1-1 - Tim Couch - well, he was a QB so he stays, but umm McNabb or Culpepper
2-32 - Kevin Johnson - Shaun King
2-45 - Rahim Abdullah - Brock Huard
2000
1-1 - Courtney Brown - Chad Pennington
2 - 32 - Dennis Northcutt - Giovanni Carmazzi
3 - 63 - Travis Prentice - Chris Redman
see also Brady, Tom
2001
1 - 3 - Gerard Warren - Drew Brees
2 - 33 - Quincy Morgan - Quincy Carter
3 - 65 - James Jackson - Marques Tuiasosopo
2002
1 - 16 - William Green - Patrick Ramsay
2 - 47 - Andre Davis - Josh McCown
3 - 76 - Melvin Fowler - David Garrard
2003
1 - 21 - Jeff Faine - Rex Grossman
2 - 52 - Chaun Thompson - Dave Ragone
3 - 84 - Chris Crocker - Chris Simms
2004
1 - 6 - Kellen Winslow - Ben Turdburger
2 - 59 - Sean Jones - Matt Schaub
4 - 106 - Luke McCown - hey look it's a QB, but Craig Krenzel was available #winner
2005
1 - 3 - Braylon Edwards - Aaron Rodgers, with Jason Campbell coming right after him
2 - 34 - Brodney Pool -somehow Chaz Frye was the next QB drafted
3 - 67 - Chaz Frye - just FYI Kyle Orton, Derek Anderson, Matt Cassel, and Ryan Fitzpatrick were still on the board here
2006
1 - 13 - Kamerian Wimbley - Kellen Clemens
2 - 34 - D'Qwell Jackson - Tarvaris Jackson
3 - 78 - Travis Wilson - Charlie Whitehurst
OK, time for a Clorox break. While there were a few solutions to the Browns QB
2007
1 - 3 - Joe Thomas - Kevin Kolb
1 - 22 - Brady Quinn - gross
2 - 36 - (traded for Quinn) - John Beck
2 - 53 - Eric Wright - Drew Stanton
2008
1 - 22 - (traded for Quinn) - Brian Brohm
4 - 104 - Beau Bell - John David Booty
4 - 111 - Martin Rucker - Dennis Dixon
6 - 190 - Ahtyba Rubin - Andre Woodson
still on board - Matt Flynn
2009
1 - 21 - Alex Mack - Pat White
2 - 36 - Brian Robiskie - Stephen McGee
2 - 50 - Mohammad Massaquoi - Rhett Bomar
2010
1 - 7 - Joe Haden - Tim Tebow
2 - 38 - TJ Ward - Jimmy Claussen
2 - 59 - Montario Hardesty - Colt McCoy
2011
1 - 21 - Phil Taylor - Andy Dalton
2 - 37 - Jabaal Sheard - Ryan Mallett (missed Colin Kaepernick by 1 pick)
2 - 59 - Greg Little - Ricky Stanzi
2012
1 - 3 - Trent Richardson - Ryan Tannehill
1 - 22 - Brandon Weeden - old
2 - 37 - Mitchell Schwartz - Brock Osweiler
still on board - Russell Wilson, Nick Foles, Kirk Cousins
2013
1 - 6 - Barkevious Mingo - EJ Manuel
3 - 68 - Leon McFadden - Mike Glennon
6 - 175 - Jamoris Slaughter - Brad Sorensen
See? The Browns could have solved their QB problem back in 2001 just by taking Drew Brees. Then they could have spent the last 13 years drafting running backs.