Couple of points:
First, under TERPS, holding airspace is weighted towards the holding side. There’s more protected airspace on the hold than on the non-holding side.
Second, the objective of the entry maneuver is to put the plane in a position to intercept and track the inbound course as simply and expeditiously as possible. Doing so ensures track guidance to remain within holding airspace.
Given the above, the point of the entry is to put the plane in a position to do a SRT from teardrop to the inbound course. The 1:60 rule says 1 degree subtends 1nm at 60 nautical miles. As the turn diameter of a plane holding at 100 KTAS is approximately 1 nm (the computed turn radius is 0.53 nm, double it for diameter), the pilot needs to be 1 nm offset from the inbound course to accomplish the turn to intercept. One nautical mile at a distance of 6 nms from the fix is 10 degrees. No wind: fly the teardrop offset at 10 degrees (260*, in your example) for 6 nautical miles to make a SRT onto the holding course. If the DME hold was at the VOR, you could dial in the outbound corse for guidance, then reset the inbound course at 6 DME and start the turn.
Given the 16* angle of bank at 100 KTAS for a SRT, there should be margin for some overshooting wind on the turn.
GF