backfires are caused by too advanced timing
(it can also be caused by too retarded timing, if you have an extreme cam)
if you've recently replaced the distributor, it's likely you put it in and were 1 tooth advanced on the timing gear.
... this means your timing is not right, and it is likely more advanced than you think it is.
I would start by looking at this, then adjust timing
you want to be around 12 to 16 deg at idle, depending on how radical your cam is
running lean will not cause backfires. If you fear you are running lean, check your plugs, the porcelain will appear dry and white. Ideal mixture, you want to see slight brown on the porcelain.