You get 100 comms if you win and get a few votes,so your 20 matches is around 2000 comms
20 matches(even if you win 20 out 20 is half a token).So you need 40 matches(again we gonna consider that you win all of them).With perfect quene its 40x10 mins=400 mins or almost 7 hours.In reality it can go to 14 hours for one bm token and you need two.Huzzah for grind?
Me?i am full bm,gearing my companions now.But those who didnt got bm gear before this "wonderfull" patch,oh they gonna have so much fun.