Cecil Travis should be rewarded for serving his country. Medals, money, honour, etc. But (IMO) entering the BASEBALL Hall of Fame should be based ONLY on your Baseball merits. If Cecil's baseball merits were good enough, he should be in.
By the same account, I don't think the HOF should be ONLY based on stats. Its called the Hall of FAME, not the Baseball Hall of Stats. Stats don't always tell the whole story.
To try to get back on topic, how about Colby Jack Coombs? He's not HOF material, but he pitched along side HOFers Chief Bender & Eddie Plank and had an amazing few seasons with the A's and even more amazing back-2-back post seasons (in 1910 and 1911, I believe).
Rob