I have some data from an addon called REFlex which tracks stats from the BGs ive done on my main, honor gains being one of them.
When i take the average of all my games (wins and losses) i get 253 honor per game. That might be higher than other players since i have a decent W/L ratio as i usually queue with friends. So assuming i started fresh and had the same average honor per game it would take me 354 random battlegrounds to get all of 89k honor required. That is ridiculous for starter gear.
I also have info about my game duration using the average of 10min 30sec it would take me 62 hours to gear up in full honor gear.
For WoD honor prices, it would take 106 games and roughly 19 hours.