Thanks for all the responses. It looks like people are pretty much divided. I don't think one style is definitively better, but I do like the aspect of the trickle because it raises the water level in the overflow and makes it silent back there.
Jeramy, I am not concerned with noise. I have it running silent. Neither method makes any noise, but I was just wondering people's preferences. Thanks a lot for the input. I think this is your old tank. I got it from Micah.