
American Sweetgum can work here, with caveats. Native to southern Indiana and fully hardy in central Indiana, which the 2023 USDA map moved to zone 6a-6b, so it is a legitimate long-term shade tree here rather than a marginal one. Fruitless cultivars like 'Rotundiloba' exist and are the right answer for a replant, but essentially none of the mature sweetgums already standing in central Indiana yards are that cultivar.
The gumballs: hard, spiked seed balls roughly an inch across, thousands per mature tree, dropping from late fall through winter and into spring, dulling mower blades, rolling underfoot on drives, and hurting bare feet. Leaf drop is heavy and late — sweetgum holds color and foliage well past its neighbors, so it is often the tree that forces a second cleanup after municipal leaf pickup has already ended.
Sweetgum is notorious for surface roots, and compacted subdivision clay makes it worse — with no oxygen deeper, the roots run shallow, then thicken and lift sidewalks, drives, and patio slabs. It also does poorly wherever root space is confined, so tree lawns, parking islands, and narrow side yards are where most of the hardscape-conflict work comes from.