Sage advice from all the above.
You have to ask yourself where do you want to get an education in your academic area of interest, where would you like to play baseball (program fit), and which school/community offers the environment you're looking for as your overall college experience. The size of any potential scholarship $$$ really has to be looked at within the context of the first three criteria. I.e., if you were offered a full ride to a school you didn't like, would you take it versus if you were offered only books and a preferred walk-on at your dream school would you sign there? Remember that it's not about bragging rights ... it's about the life experience you will have.
Plenty of quality players sign late, though it's a little more dependent upon late changes in a program's roster and recruits (e.g., players become academically ineligible, decide to transfer, college JRs get drafted, committed HS recruits get drafted, etc.) that open up late roster slots.
Simply put: if you get an early offer from a school that has everything you're looking for and is a great fit overall, sign and don't look back, just enjoy your senior HS season; if you're a quality player in both makeup and skills that doesn't sign early and you have a great senior season ... colleges will still come knocking.