Swami Sarvapriyananda. That is the man you're looking for.
He talked about topics like Hard problem of consciousness and many atheistic questions.
He may not be secular in a Christian sense, but I haven't seen him outsource any question to some kind of miracle or to God (again in Christian sense. In Advaita, you're god. kind of.)
He is also very much involved in new neuroscience developments and psychology studies.
Some links:
Another introductory level video
You can find many other videos in youtube, including some advanced level lectures.