BST90 can definately solo the queen, answered my own question. Died 1st try so went back and re-evaluated the situation and tried again, went something like this:
Make sure Call Beast timer is up and ready
Have pet food and a good reward build
1st try i was /DNC and failed due to getting nailed by flare and 2 blowing up adds during the pet swap, this fight definately requires /WHM or /RDM in my opinion(i went with WHM for casting reraise). Buff up get barfira on (very important to keep this up @ all times)
pop nm sic pet on it, i used NurseryNazuna
now get away from it, and swap to your full pet tank setup, didnt hit all that hard and adds were no issue. i just let them hang out and blow up, self destruct only took off maybe 150-200 of nursery's hp.
i have 5/5 in reward recast and bison warbonnet in my build with decent reward gear, your sheep should pull 4-5 feedings before the next step.
Around 45-50% of BQ's hp youll probably need a sheep swap. blink up and barfire. As soo as sheep dies call new (you'll get drawn in most likely) put the queen on the pet. the 2 adds will be on you but theyre no issue to deal with them yourself. this second sheep i 2hrd and basically just concentrated on keeping it alive until BQ died. All in all took about 15-20min to chip it's hp off with my pet acting as sole DD.
dropped ring, 18k gil a bomb ash and arm.