Yet if you knock the shot clock down too much, offenses might get really rushed. Ugly shots might be the rule.
For a radical middle ground, how about this: 24-second shot clock, but if the shot is taken in the first 14 seconds of the clock, one extra point. Twos are threes and threes are fours. In the last 10 seconds of the shot clock, back to normal values.
Wow, that would make things really different. Teams would work hard to get a solid shot early in the shot clock, but if they couldn't, they'd still have a chance to do something before losing possession. It would make bringing up the ball completely different as well. Offenses would want to get the ball up as fast as possible - none of this walking it up the court stuff, because that could cost you a point each possession. On the other hand, the full-court press would become really valuable. Slow a team down coming up court and you save a point right off the bat.
That could make for a really exciting game!