Umm in my video, I think I had ~170k dps w/ flask and double pot using bear + hotw cat dps. However, realizing this after, the damage you take is soo little that you can probably cat dps it all the way which would shorten the fight even further. What t4 and t6 you use and why? When I did Blood queen, my ilvl was in the 490 range maybe a bit higher. However, if you are stuck at 10% range and use pots and flask, you might just need to keep trying refurnish every once of dps and hope for some extra rng crits.
During my kill, I messed up my dps rotation and didn't extend my bleeds as planned before I lost my actionbar due to the bite. However, my last bleed ticks were just enough damage to finish her off before the timer ticked off.