I'll have to dig through my notes but... the main road from Ft Gibson eastward passed near were the Natl Cemetery is and skirted the hills for about 7 miles to the crossing of Bayou Menard (Bayou Manard, Maynard Bayou) -- about where 7 Mile Road crosses Bayou Menard. At one time the Cherokee Agency was located near at that site. From there, the road split into three forks. The northern fork going up Bayou Menard valley northeast to Tahlequah. The southern fork going to Woodall Settlement and on to Park Hill. In July 1862, Phillips split his force into three prongs when he attacked the Confederates at the so-called Battle of Bayou Menard. (The ORs say 'Bernard').
It seems likely that Pike would have taken the route via Woodall to Park Hill and on to Chief Ross' "Rose Cottage" and then crossed the Illinois near the mouth of Barren Fork and followed that road eastward along the north side of Barren Fork. This was the route used by Phillips' supply/forage trains from Ft Gibson to Rhea's Mill (near Prairie Grove AR).