what you need is more in the area of 72.5 seat tube angle.
I'm surprised an lbs would let a bike out the door with the seat slid so far back on the rails.
be careful with road bumps while seated.
I'll also do some measuring against my spare bike. I used a 4' level and a plumb like to copy my saddle position from my other bike some time ago. Curiously, that bike also has a 110mm stem.