That was my question because yarf
To OP, there are a lot of “suburbs” around Bellevue, and all of them are “Seattle greater”…sorta… Anyway, Seattle Sprawl is what it is. All those cities down there abut each other now, it seems. Another poster is making the same possible trip soon, if you search the forums. We hooked up via FB and I messaged her several hunter barns, which is what she was interested in, but eventing is big here. Ditto dressage. It’s richly horsey down there. Depending on where in Bellevue your DH will be working, he can easily commute because it seems most people do. Traffic can be AWFUL, the I-90 to 405 interchange especially so IME, which is right in the area you are probably going to be looking.
BUT.
The good news is the horse park, where there is quite a bit of eventing, is only 1.5 hours from Bellevue so yay.
Can’t comment on schools. I suspect around that area, they are going to be pretty decent, good tax base.