You have two important considerations:
1. Is it big enough? You have deer, you have the required legal buffer, and you have room to make the shot. This favors hunting the property.
2. Ryan Rothhaar makes a very valid point about where the deer may actually fall. Some neighbors may be utterly appalled to have a deer fall outside the dining room window while they try to enjoy breakfast. In our area, though, there are some who may try to lay claim to your deer.
Before hunting it, you might want to get a consensus of opinion from families in the neighborhood, especially those with children.