Courtney –
I like your approach here and yes, we still have ladybugs and will be getting a fresh batch again in June. To knock down the pest numbers prior to releasing ladybugs I recommend using the Take Down Garden Spray. It is a mix of botanical pyrethrin and canola oil. Pyrethrin will provide a quick knockdown while the canola oil will suffocate any eggs that may be present. The product breaks down in 3-5 days and a couple applications may be necessary.
https://www.planetnatural.com/pest-problem-solver/tree-pests/psyllid-control/
https://www.planetnatural.com/using-beneficial-insects/
https://www.planetnatural.com/product/take-down-garden-spray/
Hope it helps!