Why do you assume UW has better employment prospects? Being in a city doesn’t necessarily equivalate to better outcomes.
You should ask each career center for an Econ placement report.
Here is UW but seems like W&M doesn’t break by major and UW leaves off info. Depending on what you want to do, either could be a solid choice.
Student Outcomes – Career & Internship Center | University of Washington (uw.edu)