If you want the Amazon card you need to get it before you get any other card. It is issued by Chase which has a rule called 5/24. You will be auto declined if you have opened 5 or more cards in the last 24 months. All cards count, not just Chase cards. Right now you seem to be at 4/24 which is good.
Also you live in Seattle WA and you want credit cards? Get used to people pulling EX. That's just the way it is. (It goes back to CRA history of being regional companies). If you really want to manage your inquiries (They don't matter as much as people think) here is some places you can try:
BECU (great credit union) they have 1.5% cash back Visa. They pull TU
Synchrony Bank pulls TU. They mostly deal in store cards like the Amazon store card (not the Chase Visa version) but they have some Visa and MC too like the Paypal MC that's 2% cash back. They have other cards too.
Key Bank pulls EQ. They have 2% cash back card but you need to bank with them. Otherwise its 1.5%.
That's it from memory. You can search here to find others.
But all the major pull EX if you live in the PNW. Chase, Bank of America, Citibank, Wells Fargo, American Express.
Honestly unless you are going app crazy inquiries are overblown. I have double digit and have never been denied for inquiries. There are banks like Barclays or US Bank that think 3 is too much for them. So always search before you app. Good luck.
. That was not a normal sl lol, they just happened to select you for Temple Gaurdian status