I had a 1/8" chainring mounted on the outer position of a HT2 set of cranks, possibly a small spacer behind the rear sprocket and never encountered any problems.
I might as well give it a go and see how close I can get to a decent chainline before spending anything. It's for a beater/commuter so doesn't need to be perfect. Good enough will do!
Surly recommends a 3/32 chain for anything other than a 100% chainline. You can get away with quite a bit of ‘tolerance’ as long as the ring and cog aren’t ramped.
I had a 1/8" chainring mounted on the outer position of a HT2 set of cranks, possibly a small spacer behind the rear sprocket and never encountered any problems.