It takes a couple weeks to get the receipt notice. It is possible you may get the employment authorization before the 90 days, but probably only a few days before. In the Seattle area you will get the interview as fast.
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The Notice of Receipt usually take a week to 10 days. There is a chance that you will received a work permit in less than 90 days. I have had some received in 60 days but they are the lucky ones. Figure on 90 days. Good Luck
You should be m,ailed a receipt of filing within 2-4 weeks and the EAD may bee issued within 60 -90 days from filing.
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