An iron filter can usually also address H2S. How much iron do you have?
If the softner has been dealing with iron...
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A way to use Iron Out powder to treat your resin periodically to deal with iron. This is not an authoritative procedure, but it should be pretty good.
A softener is not the best way to deal with significant iron, but it can be economical or cash-flow positive.
1.Dissolve 1/2 cup to 1 cup of Iron Out powder into maybe 1 or 2 gallons of warm water.(X1: option -- maybe up the dose) Pour this down the brine tube. Agitate the brine if you can.
2. Let this sit for 2 hours to 2 weeks.
3. Start a regeneration. Usually after backwash, the brine draw cycle starts. Get to brine draw however it happens. Let the brine get drawn until the the brine tank is drawn. Alternatively monitor the drain line with a TDS meter, and look for a big increase in TDS. At that point, stop the flow of water with the bypass valve. That will let the solution sit in sure contact with the resin.
4. Let the solution sit in the resin for a time. That time might be an hour or might be 12 hours.
5. With an electronic timer, such as 5800SXT, the cycling will continue while the water is off. However since the water is blocked, the solution says in contact with the resin. Then do a full regeneration to get the solution all cleaned out.
You might watch the drain line during the start of the later regen, and see if it is rust colored.
Note: various old posts have tried to describe a procedure, and I have tried to assimilate those. Go ahead and criticize this procedure. Different views can be helpful in tweaking a procedure.
There is not just one right way.
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Sanitizing your well can help for a while, but sanitizing weather may be over for a while.
https://terrylove.com/forums/index....izing-extra-attention-to-4-inch-casing.65845/ is my well sanitizing write-up.