Army JAG
As someone who went to college on a four-year Army ROTC scholarship and ended up in the JAG Corps, I can attest that the previous poster is correct. Ed delays and FLEP are both extremely competitive and always have been, but I have known people who did both. While it's possible, I think it's unlikely that someone approved for an Ed Delay would be turned down by the JAG Corps, assuming they passed the bar. Unlike other branches, JAG is top-heavy, meaning that there are far more field grade officers than company grade (a JAG 2LT is unheard of). JAG staffs like the other professional branches do; they figure out how many positions they can fill from in-house sources (such as people coming in from Ed Delay), and fill the remainder from outside recruiting at law schools.
For what it's worth, I branched Engineer in a year that the Army was downsizing significantly. As a result, I did my OBC and went straight to the reserves and served as an Engineer platoon leader. I went to law school while in the reserves and once I graduated was recommissioned as a JAG in the reserves with the same commitment (note there is no branch transfer with the JAG Corps, you literally have to be recommissioned). I then did JAG OBC. Note that as a reservist, you can be called up at any time, and that can make school difficult - it happened to me during Desert Storm.