I figured I'd update everyone here a little with how some of the other teams in the league are doing in the extremely important activity of signing draft picks. It seems as if some teams have really jumped out of the gate, here are some links
The Twins sign two
The Royals sign seven
The Astros sign nine
The A's sign frickin 17 already
The Phillies, Braves, and Rays all sign first round picks, (though in the Rays case, their second pick, 31st overall, a compensatory pick for not signing their pick from a year ago and the Braves pick is the 35th overall, supplemental first).
You can read the articles if you want but I will point out some highlights. The 35th overall pick in the draft signed for 800k, which seems to be really low, and either his agent didn't do his job, he really wanted to sign quick, or he got picked so early because the Braves knew he would sign cheap (possibly a combination of all three as well).
Out of the A's picks, the earliest drafted pick signed was their 6th rounder, so they still got a lot of work to do in signing their top picks same with the Royals, the earliest drafted player they signed was their 6th rounder, and the Astros earliest drafted player was their 4th rounder, with their next earliest being 8th.
I'm sorry I don't have more info, but I figured this could help a bit here and get some discussion going.