Quoted:
"4) Take to a gunsmith to kiss with a 7.62x51 reamer "
A commercial reamer probably wouldn't even touch the sides of the chamber walls. I also think you'd have trouble finding a gunsmith who owns a 7.62X51 NATO chamber reamer. As stated above, a chamber brush spun slowly in a cordless drill should do the job, when used with your favorite oil. If necessary, wrap it with #0000 steel wool to get good contact; you won't hurt anything by doing this, as long as you don't get carried away.
This- If you run a reamer into the chamber the only thing you will accomplish is to increase your headspace, which in a FAL is easily dealt with due to the locking shoulder design but it wont fix your issue with the 308 being a straight walled case..
Polish the chamber with the chamber brush/steel wool method but use ATF as a lubricant while you do. You are never going to get all the rust out. About all you can accomplish is polish off the surface rust. I have cleaned up rough chambers in the past by taking a fired casing from the rifle and soldering a brass rod in the primer pocket. Keeping LB Bore compound from the shoulder and neck of the case lap the chamber VERY lightly. Take it easy here, you are not trying to remove any metal, just polish the chamber walls. By keeping the compound away from the neck and shoulder you should not change the headspace but check it with Go/No Go gauge to be on the safe side.
If it is pitted then you need to replace the barrel.