It might also help to know which school we're talking about here. If it's Stanford, well, that's one thing. If it's Emory, that's wholly another. And numbers would help—plus years of WE, diversity factors (first gen grad, etc.).
Plenty of us here have done exactly what you're planning. A buddy of mine took the LSAT last fall, was accepted to his top school, then delayed further to intern.
Taking another year or two off should be fine.