There are two phases to it: high school and then in college. I am presuming by your question that you have not had any contact with pro scouts in your high school years, so that eliminates that phase where scouts see you play in high school through things like Area Code or the top travel team events like PG.
When it comes to college baseball, as others note, they will find you. Were you to play in the SEC, ACC, Big 12 or Pac12, there is a very good chance there would be pro scouts at every game because the talent level is so deep and they can scout multiple players efficiently. It does not sound like that applies to you, so it is a bit harder to be seen by pro scouts during the season in the lesser leagues and down the divisions, but it happens. There are kids drafted highly from all types of colleges but they really need to be studs, and then the scouts will come see them.
You may have the Summer college league options--Cape Cod is obviously the elite league but there are others where if you play really well in the Summer, you may be seen by pro scouts as well. You will need your college coach to support you with the Summer league options, and then you must star there.
It is a worthy goal but incredibly difficult to get a chance to play pro ball. As hard as you worked in HS to get the opportunity to play college baseball, figure it to be at least twice as hard in college to be able to play well and succeed. Good luck on the journey.