I can see in my Google Chrome Dev Tools that my tag is firing, but I'd like to see how many times a day it's firing, to make sure it's working every single time. Is there anywhere I can go to get that information?
Tealium doesn't offer this kind of reporting. Your best bet is to compare the data that you are seeing with a back end system if possible.
The only other option is to talk to your account manager about getting the Event Store tag setup with reporting being sent to that.