SHB infestation on my new nuc

Hey, Team. I just recieved a nuc about a month ago that I successfully hived queen and all with a small presence of hive beetles that came with them. I’ve taken action with traps such as beetle blasters with olive oil & ACV. They do show effective as they pile up inside the trap but as I examine the brood trays I can see visible shb larvae infest a good amt of the comb. The hive has good numbers but I would not call it strong. Ive keep them secluded to just a deep to keep beetles from getting new space. Any tips or tricks as to combat the shbs would be greatly appreciated. Thanks!