I'm not a "McGwire for HOF" guy because I think the HOF is full of good, not great, players but I thought of 4 guys, off the top of my head, that are HOFers and they have BA that are pretty similar.
Bench, Schmidt, Banks, Killebrew. Then, while checking to make sure they were all "low average guys"(they were), I noticed Rickey Henderson hit .279. Based on 500 AB, the difference between .263 and .279 is 8 hits a season. There are dozens of reasons to say "NO" to McGwire in the HOF but BA doesn't seem to be one of them.