IF Oladipo has been offered, it may not be a player for player swap. At first glance, that looks like more than what the Jazz should offer, but if Orlando wants more back it might not be worth it for the Hawks. And I really don't like the Hill deal from Indianapolis for them. Don't think it works at all if they're planning a rebuild/retool.
I'd still show interest, offer Burke, Booker and a future pick. I'd start with the OKC pick, and eventually move off that to the Jazz 2018 pick with minimal protections. Even though the Jazz look poised to be good for some time, there's still the risk that Hayward leaves - which would make that pick extremely valuable. It's a gamble, but that's a pretty good asset IMO. Let the relationships that DL and Snyder have with Budenholzer get the deal done.
Also, don't underestimate the value of trading Teague to a Western Conference team. If he bounces back into All Star form with Indianapolis, New York or Orlando, and the Hawks fall behind that team in the standings, Bud and the front office will get ripped by fans. Less so if Teague plays well for Utah out in the West.