Winter is not high season for golf in the Northeast. Therefore, evergreens are unnecessary golf course decorations. Just my opinion.
Willows are estate specimen trees at best. Messy, weak, untoward trees. Save them for a pond and a picnic.
Instead, let me suggest a few trees that may remain on the course, if absolutely necessary:
Elms
Zelkovas
Mature oaks, limbed up
The occasional native tree of interest: catalpa, buckeye, sweetgum