An area scout's continued employment depends upon him finding EVERY "prospect" in his area. A prospect is a player who demonstrates to the scout at least one POTENTIAL MLB tool.
An area scout has developed a large "feeder network" of people who report on local players: associate scouts (unpaid, unless a player is drafted and signed), HS and college coaches, travel coaches, umpires, heck even the local batting cage owner. Multiply this by 30 teams and you realize that not a single potential prospect is missed. Add to this local network the scouting done on summer collegiate leagues and you have the ultimate belt and suspenders approach - an entire industry devoted to finding a nugget. Scouts never, ever, slack off (apart from vacations); six or seven days a week they work.
Getting found by pro scouts DOES not depend upon playing for a particular HS, travel or college team. Getting found depends upon a player's potential, his talent, and showing that off at the right time.
So, control what you can control: maximizing your potential. Outwork your peers; when you take a day off some other player isn't.
(As an aside, remember this: even if you get drafted, the overwhelming probabilities say you will be out of baseball by the time you turn 26. That means you will be working a regular job or career for over 40 years. In addition to working on your baseball skills, figure out how to position yourself for those four decades - a solid analytical major will accomplish that.)
Congrats on the offer; enjoy that accomplishment and move forward to the next goal!