I think a November tournament would work better. The advantage would be that injured players would hav months rather thn weeks to get healthy.
The people who are going to complain about the WBC are going to find reasons to complain no matter what.

MLB Network sideline announcer mixes up her Puerto Rican baseball stars, hilarity ensues:

http://sports.yahoo.com/blogs/mlb-big-league-stew/tv-reporter-heidi-watney-mistakes-andy-gonzalez-nelson-070206575--mlb.html#more-68571

"MLB Network reporter Heidi Watney dutifully attempted to interview Nelson Figueroa immediately after the game, and it didn’t go so well.

She awkwardly directed her Figueroa-related questions to Puerto Rican slugger Andy Gonzalez, whose two-run single in the sixth inning proved to be the game-winning hit..... Gonzalez is two inches taller and 40 pounds heavier than Figueroa. And he has a completely different face."

There was talk at one time of a 'real' world series in November with the best team in Japan vs the best in MLB, but obviously that hasn't happened and I cannot imagine it will happen in the near future (ie: next 20 years). One does wonder though how a series like that would be perceived. Most US teams would be drained from the playoffs and the Japanese league championship is never over until after the MLB one is so they'd also be drained.

If you wanted a series after the season for the WBC it would have to be in late November/early December I think - giving all players at least 2 weeks off post-World Series and Japanese Series. But rebuilding the hype would be hard and it would be going against the NFL in late season form, NBA & NHL in early season form. Not a good time to be adding to the sports roster. Spring training though is a period when baseball is only against mid-season NBA/NHL (about as boring as it gets in leagues where everyone over 500 is a lock for the playoffs) and the NFL is long gone. Spring training itself gets a handful of die hards but generally is just a way to get people hyped up for the real thing in April. The WBC, if the US can ever get its act together, could be a good way to up that hype just as teams are trying to sell ticket packages. Imagine if a player does something amazing to push the US to the final game or to win it - that could easily be great for hype for that players team (assuming it isn't a guy on the Blue Jays). Someday that'll happen I'm sure.

Hopefully the US team takes it seriously in 2017. While I enjoy seeing Canada either beat or almost beat the US I know it is silly as the US should slaughter all but Japan when you factor in depth and the like.

I don't think the NFL would be a bug problem for competition with a November tournament. Obviously you wouldn't want much in the way of Sunday games but weeknight games would be fine. Play the semis on Tuesday/Wednesday and the final on a Friday and I think you'd be good.