Saddle Soreness Issues

[Crankin]

You've taken the right first steps; new shorts and saddle. There are chamois creams that have no ingredients to disturb the flora, some are made specifically for women. You can do a simple search for these.
Not sure what a bath bomb is, but it sounds like your skin is very sensitive. I'd be washing with a very neutral soap, like Purpose. Body lotion may be causing the rash to be worse. After washing, maybe apply witch hazel to the rash? Another thing is you need to get out of your shorts as soon as you are done with your work day. Don't hang around in them. Wash yourself immediately, even if you are not showering yet. I wash my cycling shorts in warm or hot water to get all of the bacteria out. I know this goes against all advice, but my shorts last quite a few years. Hang them to air dry.
You might have to visit a dermatologist if the rash does't clear up.