There is little reason to shun their existance. There have been cases
found where human tracks have been found next to and even inside dinosaur
tracks. 80% of the species that once lived on this planet are now extict; it
would be reasonable to assume that they perished in the great flood. Prior
to the flood, the world was closer to the Eden-state described in the Bible.
As corruption spread, much was wiped out and few things were saved. Note that for
human footprints to be inside the dinosaur print, the mud would still have to
have been wet! The two prints not only having been made during the same era,
but on the very same day.