Blue Dream in auto form would be a great choice to try. I know Fast Buds has Blue Dream-Amatic which is a blue dream auto. It's generally well liked by medical patients who feel the same as you about not liking "the high" you get from other strains. It's great for those with insomnia, paranoia, anxiety, pain, etc etc. Dont get me wrong it will get you high, it is just a more relaxing, euphoric high than most recreational strains and doesnt make your head all fuzzy.
I've never tried an auto that's 1 to 1 but Critical CBD, Nebula CBD, etc would probably fit the bill. Or try something like AC/DC and see if its more to your liking.
i have tried alot of strains so maybe I can give you more options if you have tried the above.
As far as the very low thc strains I'm not sure you will get the immediate relief you want from them. They are helpful when added to your arsenal of Cannabis as medication but you really need at least a 1 to 1 strain if choosing just 1. This from someone who has acres of low thc/cbd plants growing this year.