Air tires?

For monster truck tires, Pro Line has the R series, such as the Crime Fighter MTR, Bowtie MTR, and Holeshot MTR. The "R" designates that they are ribbed and they do resist ballooning. I've found that they balloon substantially less than other tires.

Other than that, two layer of duct tape around the inside of the tire works well too. Just be sure to get the inside of the tires good and clean so that the tape won't let go.