On the subject of clock management:
If the shot clock is off, the game is tied, and you're the visiting team, you:
1) shoot the best shot you can get, with only enough time left for a controlled tip-in, but not enough time for a catch-and-shoot.
2) take the open shot with the clock expiring while the ball is in the air.
3) take the open lay-up while leaving time remaining, and deny the 3.
That's the order of preference. You never give the home team a chance to win with the last shot.
At home, you always shoot the best shot you can get, leaving no time on the clock, unless the other team has no timeouts, in which case, you can leave less than 1 second.
The idea is that you play for the win on the road, and for overtime at home, unless you're at home and it goes against momentum.