Ah, one of the beauties of Pittsburgh is there are multiple ways to get somewhere. I am not exactly sure where you are coming from, but here goes anyway. I rode from the Science Center to Forbes and Murray 5 days a week for 12 years, and almost always went up Boulevard of the Allies to get on the Jail Trail at Grant, then through Panther hollow. At the end of Panther Hollow I would either walk over the tracks and go up the trails to The Bartlett Playground, but that is not by the disc golf course. Other options are up Juno to Boundary to Hamerschlag, or Juno to Yarrow to Schenley. The only times I rode up Greenfield was when the snow was too deep through Panther Hollow. A shorter more urban route (more traffic, but probably faster) is up Forbes from downtown, through uptown on a parallel street or alley, through Oakland, then cut over to Shenley Drive at some point. It’s a more engaging route, whereas the trail to and through Panther Hollow is clear sailing less mindful riding, but longer. Sometimes I would take a parallel street through the strip into the beginnings of Lawrenceville, then Liberty through Bloomfield, where you could cut over towards Oakland, but This would be out of your way.