The .5 ppm of iron is but a trace and any dealer proposing the use of a greensand filter is selling you way more than needed. A correctly sized Birm filter will suffice. There can not be any H2S for the use of Birm and there is an acceptable pH range.
Backwashed and/or regenerated (greensand) filters come in any size needed. The water treatment industry is trying to get away from the use of potassium permanganate, a serious poison.
The 5600 control can only be used on filters using no larger than a 10" dia tank. A 10" x 54" tank is for 1.5 cuft softeners or filters. The size of the unit depends on your peak demand flow rate and for greensand you would not be able to successfuly backwash more than 2 cuft with most well water sytem pumps. Greensand is very heavy mineral and 1.5 cuft will have a max gpm flow rate of 5 gpm. Over 5 gpm, you won't get all the iorn out of the water.
Soda ash increases pH, it doesn't soften water. Greensand can not be used if the pH is less than 6.9 pH.
The best solution for your water is a correctly sized water, and since you don't like the "I can't rinse the soap off" feeling... which women love, you can add 1-3 gpg of hardness back into the water after the softener removes the hardness and iron. With 11 gpg of hardness, you'll spend much more living with it than a softener will cost. Hard water costs clothes, fixtures, water heaters and much more fuel to heat water etc.. Softener salt is much less expensive than PP. A softener will use way less water than any iron filter, whether it is backwashed only or regenerated.
To learn more concerning correct sizing, see
here
Gary
Quality Water Associates