Stumbling across this while looking for something else.
I recommend for this kind of setup if you want many drones to try and infatuate the queen in a lover situation to ensure a healthy supply of eggs by ditching a marriagable situation that will attach them dependently onto a single consort (since polygamy or concubines isn't a thing in DF). If this fails for some unforseen reason of DF logic, using a generic male 'king' ant instead or making some quick alterations to drones can save the situation, winging it with some of my advice.
Unfortunately you can't force lifetime goal desires onto them in the way you've modded it. They'll pick the from the highest influence of values when determining how they want to proceed with that (which family is a entity value, not a creature inbuilt personality trait as ChaosPotato helped point out) nor in my observation does it really have a effect on reproduction, outside of positively reinforcing the creature to maintain a relationship by making it emotionally more rewarding or them to be around those in their immediate family.
Raising the libido of the female queen with [PERSONALITY:LUST_PROPENSITY:<lowest-number>:<median-number>:<highest-number>] to ranges above 65 gurantees that more events for them to procreate can occur. Your current orientations are directed towards marriage 100%, which means only 1 drone can attend the queen at a time in a 800 year lifespan, and is giving erm... inadequate attention if neither party are lustful enough.
The 9 month gestation time is hardcoded even into w.g, so 1 brood every year of the amount of eggs the queen outputs with a successful pregnancy, forced by a lot of procreating events. If working as intended you might want to cut it down to below or therabouts a 100, or you will have 2000 citizens in 5 years with just 1 queen
I've tried no_gender or even monogender representation races before, (one i have planned is literally a immobile portal, like a giant-sponge creature made from stone for "Summoning") they need fairly promiscious starting pair to get going but once they do, per breeding pair head they start population booming. Its a carefully calibrated process though, because as soon as the game detects there isn't going to be a successful breeding pair and its actually going to hurt the survival of the species, they start trimming off historical and nonhistorical members in a attempt to try and save what it thinks is the last historical breeding pairs from soliciting with anybody not-worthwhile.
Self reproduction by proxy is a helpful tool especially for underworld invaders to maintain a foothold in the world.