I totally disagree with about how hard it is to check availability on AS.
I do not hold AS membership and have redeemed 3 awards on AS via EK miles.
You can search for them here:
https://www.alaskaair.com/planbook?awards=yes
If it is in the 'lowest' category, then EK can book the same exact reward.
You can also check for similar inventory via AA as well, but why not go to the source.
Once you find the availability via AS, you call EK and book. They sometimes have some nonsense about waiting for confirmation (automated system) and requiring to hold and call back, but usually you can call back pretty quickly to finish the booking.
Wait wait, your profile says you are a 75k. So, I am not sure what the deal is except you don't want to redeem on AS.
Rasheed