Good advice from everyone here. I want to add - that you could place those honey frames in the freezer. It won't hurt them. It will kill any problem insects or insect eggs. You can later harvest the honey, or place the frames back into the hive at your discretion. It's less work than extracting, and then feeding back.
I haven't seen any problem bugs except varroa mites which I will be treating for in August
Your in Washington. I'm south of you in California. Wax moths will lay eggs, and the larvae will hatch and destroy the honey frames - unless the hive is strong. Same thing goes for SHB's - I have a few of them here also. No problem in a strong hive, you'll never see either of them - Big problem in a weak hive with more honey than it can protect. You don't see either pest in strong hives - but I'm speaking from experience regarding the damage they can cause in weak(er) hives.
So there's several options imho:
1 - harvest the honey - feed back later if necessary - too much work in my opinion
2 - put the frames in a strong hive for protection - if you have one
3 - put frames in freezer till the hive is queenright and strong again (2 or 3 months from now). If they need stores at that time, you can put the frames back. If not, you can harvest later.
In any case, it sounds to me that your hive is not strong enough to protect that much honey, and they will recover slower because they [many] will be protecting rather than gathering as they grow.
Keep in mind that many bees will die of old age before the queen gets the population back up - due to time passing. Your hive will be much smaller 4 weeks from now, than at this time - even with a queen. ... just my opinions/experiences. ... fwiw.