Electronic strucure of cyclopropene radical cation
You do not really have a singly bonded carbon atom. When you remove the hydrogens from the originally saturated carbon the pi electrons delocalize to make an aromatic ring.  In effect you have a cyclopropenyl cation with one of the hydrogen atoms homolytically removed.  The positive charge is thus delocalized in the ring but the odd electron is localized to the carbon with no hydrogen, in the outward pointing $sp^2$ hybridized orbital.