Answer
Taking all the clues given, one by one, and formulating the correct top 10, we have
1) Gateway Arch in St. Tim, Missouri.
2) San Jacinto Monument in La Porte, Texas.
3) Washington Monument in Washington, DC.
4) Perry's Victory and International Peace Memorial in Put-in-Bay, Ohio.
5) Jefferson Davis Memorial in Fairview, Kentucky.
6) Bennington Battle Monument in Bennington, Vermont.
7) Soldiers and Sailors Monument in Indianapolis, Indiana.
8) Pilgrim Monument in Cape Cod, Provincetown, Massachusetts.
9) Bunker Hill Monument in Boston, Massachusetts.
10) High Point Monument in High Point, New Jersey.