Right-Angle Board-Edge Header, 36 Positions
For higher reconnect duty, gold-plated siblings in the BERGSTIK® II family are worth a look.
The 68016-436HLF is the 36-position variant in the 68016 right-angle header family. The same series also offers 6-position (68016-406HLF) and 4-position (68016-404HLF) versions, all sharing the same 0.100" pitch, tin plating, and single-row layout. A straight (vertical) sibling exists under the 68001 base number: the 68001-436HLF has the same 36 positions and pitch but uses a vertical through-hole orientation. That part suits top-down mating instead of side-entry, so the board layout differs.
