I agree that it's unsafe.
I always had a similar dilemma living downtown. Depending on the time of day, I had a lot of traffic to deal with. I did it, but I didn't like it. From there, I could ride up the Monon but that meant going through an area where there have been repeated safety issues. Plus, by the time I got anywhere decent to ride, I would have already ridden 10-15 miles. So, more often than not, I just drove to ride. It was a PITA for sure and not exactly green. With our new house, we can just ride straight from home. It feels like such a treat.
That said, I do think with some additional experience, you will find a route that you can navigate from Speedway. I'll look at a map when I have a chance. Are you hoping to head due west or northwest?
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher