I was also in the 3,000 mile camp before BITOG. I always bought Castrol GTX and usually AC oil filters.
I then went to 6 months/5,000 miles with "full" synthetics after finding BITOG, and did oil analysis for a couple of years.
Now I have no problem taking conventional to 5,000 miles in mostly highway driving.
My OCI is almost always 6 months, and longest mileage in that interval will be 7,000 miles.
Since BITOG, I now buy all oil and filters on sale, with the exception of the orange ones...