DISCLAIMER: I'm just an average brewer who knows how to punch numbers into a spreadsheet. I don't know mush about chemistry. In spreadsheet we trust!
Here is what I get using the EZ spreadsheet
Starting Water (ppm):
Ca: 13.5
Mg: 2.7
Na: 15
Cl: 26.6
SO4: 26.4
HCO3: 16
Mash / Sparge Vol (gal): 7.5 / 2.75
RO or distilled %: 0% / 0%
Total Grain (lb): 20
Non-Roasted Spec. Grain: 1.25
Roasted Grain: 1.5
Beer Color (SRM): 40.7
Adjustments (grams) Mash / Boil Kettle:
CaSO4: 0 / 0
CaCl2: 1 / 0.36
MgSO4: 0 / 0
NaHCO3: 8 / 0
NaCl: 0 / 0
CaCO3: 4 / 0
Lactic Acid (ml): 0
Sauermalz (oz): 0
Mash Water / Total water (ppm):
Ca: 80 / 64
Mg: 3 / 3
Na: 92 / 71
Cl: 44 / 44
SO4: 26 / 26
Cl to SO4 Ratio: 1.65 / 1.65
Alkalinity (CaCO3): 250
RA: 191
Estimated pH: 5.21
I've got you mashing with 7.5 gallons (1.5 qts/lb) and using the other 2.75 gallons in the sparge. You add the mash salts directly to the mash. Add the sparge salts to the wort in the boil kettle.
Really your water is good to brew this beer as is EXCEPT that there is an assumption that the dark malts will lower your pH out of range. So we are using chalk & baking soda to correct the pH. You may want to mash in WITHOUT the salts and check the pH. If it's in range (5.2 - 5.7) you could skip the baking soda and chalk and just add 5 grams of Calcium Chloride to the mash. Or you could just add the stuff in the spreadsheet and go with the flow. Please post your results.
It would be great if you brewed it my way and AJ's way and then compared the results. It may help close the divide.