Nowt wrong with having a single and a stage, that's almost twindies

,
but i'd question the logic of breathing the whole stage and
then shifting to backgas.
Breath stage down to say eg: 80 bar and then switch to backgas. Ignoring
the very slight weight advantage over an empty alli cylinder, if the main
has a problem (you sure its gonna work?) then you can go back on that
80 and go home.
If main is ok even if you suck it down to 50 bar, you still have another 80
in your stage as a bailout.
Depending what reserve you want, this boosts your dive by just over
1000lts or almost half as much again as what's in your 15lt.