Welcome to the forum! I really liked the 31BH it was the runner up to the trailer I ended up buying the 36bh. unfortunately I don't know the size of TV.
I hope you enjoy it, I know it is exciting to get a new trailer. I gave myself a generous budget to get things set up in the trailer just like I want them. My advise is not to get in a big hurry and buy stuff before you get proper measurements though. Take your time and figure things out its all part of the fun.
2006 Toyota Tacoma, 2008 18'Carson 5000lb
2011 F-150 Pulled 2005 Trail-Lite 32' 5100lbs
(currently) 2011 F-250 400hp 800trq 3.55axle Timbren SES, pulling 2016 Reserve 36DB 11,500
2015 20 nights
2016 14 nights
2017 22 nights