I'm curious if there are any good arguments that support the existence of Time.
I can't think of any. As a result, I believe that Time does not exist.
Humans created the concept of Time as we needed a way to predict when events would occur. It is very important to recognize that each event is completely separate from every other event. But we still seem to need a mechanism whereby we can compare two or more events. This requirement for comparison results in us labeling one event as potentially occurring faster, slower or at the same moment as some other event. This is where the conundrum occurs. If we were to never do any event comparison the concept of Time would not be required. All we would experience is Change.
As this comparison of events is something we humans think we need to do, in so doing we create something artificial: Time.
If Change is the only condition that exists then what used to be ceases to exist and is replaced by the Change. Therefore, there is no sense in considering Traveling into the Past: There is nothing to travel back to. The sense of how something was as opposed to how it is now is just a memory that we have.
Likewise, events that have not occurred yet can only be imagined as they have not yet occurred. As a result there is nothing to travel forward in Time to.
All that exists is what is Now.