IMO, if your insurance offers access in the location where your student will be in school there is no reason to pay for the school-offered plan. BC/BS is national, but your policy has to include national access/access to in-network care if your child will be out of your ‘service’ area (i.e. not just emergency care).
At Vanderbilt, it’s ~$1900 annually. Why pay that if you can access doctors without it?