Can you receive traffic advisories without a specific destination or intention?
You call up ATC, tell them that you are out sight-seeing and would like flight following and traffic advisories.  On a workload permitting basis ATC would provide the service.
Here is an excerpt from the FAA Air Traffic Control Handbook:

Section 6. Basic Radar Service to VFR Aircraft- Terminal
7-6-1. APPLICATION
a. Basic radar services for VFR aircraft must include:

Safety alerts.
Traffic advisories.
(...)


This is a very common request and depending on the location there should be very little difficulty in receiving this service.