If the colony is under 10 kilometres of dirt, then you can move the dirt, but that takes time and equipment, and we can dig under the equipment, make it collapse, and damage it. We can't really stop them short of direct confrontation, but we could slow them down and make it expensive. The alternatives are remote excavation, which would require telekinesis, attractor beams, force fields: some sort of remote physical manipulation that, as far as we know, they do not possess. The other alternative is violence, probably either blasting or vaporising the dirt, which would likely result in 10 kilometres of dirt ending up in the atmosphere, which is not going to be good for solar power generation...
The offspring of a queen inherit some of its traits. People are talking about launching an overt attack against the satellite network in a couple of weeks and we have already exposed our virus to potential discovery. Given this level of aggression I suspect that we will need a standing army and a predator queen would impart qualities to its offspring that would make them excellent soldiers. If we are willing to wait for a time, then a spy drone queen would probably make an excellent addition to our efforts to remain undetected and to gain information about potential resources.
P.S.
On a meta note, we have been told that we get a free pass on our first queen, so it would be an excellent time to acquire a predator queen as I expect predators to get a bonus to their rolls to decide that the hive-mind would be better off with a new hierarchy...