The idiomatic meaning of "take to" (meaning "go to") is only used in certain contexts. In addition to the ones your dictionary link provides ("take to the hills" and "take to the streets"), the only one I can think of is "he took to his bed, " meaning he began a long period of being bedridden due to illness or depression. You can not insert "back" or anything else into this idiom; it is a fixe
took to = go somewhere especially for safety in imminent danger/ threat (like resort to a course of action) e.g. The dogs were chasing him. He took to the hills.
I am not sure of 'take back to': took back to = return again to (like retract)