I thought I'd hop in here and ruin everyone's fun and actually answer the question!
The basic process to BB's offensive flow goes as follows -
Player A recieves the ball.
Does player A shoot? (This is decided by a number of factors - Player A's position on the court, his skill at scoring from that distance, his defender's attributes, his experience, the quality of the pass recieved, his passing skill etc etc)
If player A does not shoot, he passes.
Player B recieves the ball.
Does player B shoot?
If player B does not shoot, he passes.
Player A/B/C/D/E recieves the ball........
This continues throughout the possession until one of the following things happens -
A player shoots.
The shotclock expires.
There is a steal/turnover/offensive foul/offensive 3 seconds.
BUT (and here's the answer to your question!) if the shotclock is low, a player might be more likely to shoot even if they usually wouldn't. This can mean centers might throw up a 3 or a guard will attempt an ill-advised layup. The will just literally throw the ball at the basket to stop a shotclock violation.
The only way to combat these types of shots is to get better offensively. In my first few seasons I had very similar problems, but now I have guards that love nothing more than to chuck up a shot before the shot clock hits 18, so I rarely see it these days, only against the best defenses.
Hope this helped.