https://www.thevespiary.org/rhodium/Rhodium/chemistry/safrolefaq.html (https://www.thevespiary.org/rhodium/Rhodium/chemistry/safrolefaq.html)
I was reading this and noticed that juniper virginiana leaf oil contains isosafrole... I don't know if the sawdust would contain much of the essential oil, but SWIM grew up on a farm and used to get the sawdust (AKA "shinglehair" because it's the sawdust leftover from making shingles) by the truckload for horse bedding, it was fairly strongly scented, so I suspect it would contain at least some essential oil.
Safrole is bad karma now, and steam distillation is easy, and it would be hard to beat $25 for a truckload of isosafrole-containing sawdust.
I think it's definitly worth looking into.