From my seat in the bleachers, you should hope that they decline your offer. In a couple of years you will look back on this house and chuckle and thank your lucky stars you did not get it. As you have said, you are not selling your current place and in a year you will be picking out a completely different pool of houses. You are in no rush. Make him play ball, because YOUR situation is doing nothing but going up.

Interesting. Is that because we will be able to afford a bigger/better house in a few years?
Correct. IMO you hold all of the cards in this. You do not have to move, you want to move. Make him play your game.
If you live in your apt for a couple of years you will be able to afford a much nicer place.
I've been thinking about this a lot. Although we'll be able to afford a more expensive place in a few years, do we really
need to? We don't want to raise our children in a snooty neighborhood. We don't want to live in the uptight, blueblood or jappy Long Island towns. Some (many?) of the people there are pretty awful. Even if we have the means to live in bigger/better, we're thinking house in this area/at this price are "just right." They're nice enough, good schools, big enough, safe enough, all the amenities, but still diverse, with a high school having kids from various neighborhoods and various income level families and ethnicities.
But I have been wondering about this. Would we want something more "prestigious" in 5 years? Why will I care to impress people with where I live? Why do I need the biggest/best? And yes, the kids could be in a "best" school district in terms of rankings etc., but does that matter? If a kid works hard and has the right values, won't they also have tons of opportunities in a "good" school district?
Just some things we've been kicking around.