Ms Schurch's toe up reversed heel is just one option..
Cat Bordhi's new sock book has some other novel heels, and there is a reverse engineered toe up heel.
Ms Schurch's heel is Flap (on sole of sock) turned (at back of heel) and gusseted (back of heel) --basicly the same heel as you do top down, done backwards.
there is an other option..
at sole, (about 3 to 4 inches before heel) begin to increase (2 stitches either side of sock, every other row) (continue to work in rounds)
(this is building up a gusset!) (increase about 16 stitches each side (32 or so in total!)
working flat (back and forth/not rounds)
then working short rows, turn the center group of stitches (start with center X (X=number of stitches on sole before increases) (the heel turning)
then, pick up short rows (all in one go) and begin back of heel
Work center X stitches, and K2tog at each edge to 'bind off' the gusset stitches--this will take 32 or so rows!
work these stitches in heel stitch.
when all the gusset stitches have been bound into sides of back of heel (flap in effect) return to working in the round.
there are detailed directions for this heel on line (but i don't have a link..
this heel looks just like a top down heel.
the
pink sock in this image has this heel.