@mckinney3711
There are multiple discussions about places to stay in Rochester, I will include a few links at bottom of this comment.

To answer your question about discounts, yes many hotels offer Mayo Clinic patients a discount and flexibility if your schedule changes.

Right now Rochester downtown is in middle of multiple construction projects and driving and parking downtowns can be frustrating. So, if you pick a hotel that is either walking distance or provides a shuttle, you can avoid the hassle of parking. If you do plan on driving to appointment and parking, make sure you allow extra time. For information about construction on Rochester campus, see: https://www.mayoclinic.org/rochester-construction

Do you know about Mayo Clinic's free Concierge Services? They can help make recommendations suited to your lodging requirements.
Concierge services
https://www.mayoclinic.org/patient-visitor-guide/minnesota/concierge-services
By phone 7 a.m. to 6 p.m., Monday-Friday: 507-538-8438
Email: concierge@mayo.edu

Here are some similar discussions about lodging where other members have made suggestions:
Travel to Mayo Rochester:
https://connect.mayoclinic.org/discussion/travel-to-mayo-rochester/
Accessible Lodging:
https://connect.mayoclinic.org/discussion/accessible-lodging/
Is this your first trip to Mayo?