RJM, 2 suggestions.
First of all, coming close to 1100 on the traditional 2 components is not "bombing" the SAT's. OK, it might not make the Ivies happy, but lots of very high level schools' baseball programs can get your son in with scores and grades like those. UVA, W&M, Vanderbilt, Wake, Duke all come to mind. I'm glad you have high standards in your family, but let's not overreact. A lot of kids you know would be ecstatic with those scores.
Secondly, not to be a commercial, but since I have no stake in the business I'll pass this along. My daughter didn't "bomb" the SAT's but like you we were less than enthused with her scores. Princeton Review's ads claimed they would increase her 3-part scores by 200 points. "Baloney," I thought. "It won't be 200 points, but hopefully it'll help enough to be worth it."
I kid you not, after their course she retook the test and her scores went up exactly 200 points!
So, you might want to look into Princeton Review, Kaplan, Huntington, or a similar program.