To Push and Park. I am an Instructor, so let me answer your question with a few bits of information and questions which will make you think logically and conclude your own answer.
You note that the turn to the outbound heading is greater than 90 degrees. 90 degrees will take at least a half-minute. The turn could be as much as 160 degrees which would be only about 6-7 seconds short of the one minute outbound time. So, if you started the time over the fix, before turning outbound, in some cases, you would barely have rolled out and it would be time to start turning inbound. And in some cases, you wouldn't even be "abeam". I teach to start the outbound timing when "abeam", or wings level if unable to determine "abeam".
What is the point in timing? Are you doing it because someone said to, or do you have a logical reason to do so?
The object is to get yourself outbound to a point where you can turn inbound with one minute to fly back to the station.