In my experience, colleges (at least those that are not-for-profit) don’t actively try to convince you to attend their campus. The expectation or pressure to attend generally comes from their family, friends, and school community.
If a reputable college really wants a student to attend, their financial aid office will generally find a way to lower your costs. Or else they will deny your application, or at best load you up with ugly Parent PLUS loans.
My youngest brother is a high school senior who was recently admitted to an Ivy around three weeks ago. Since then, he has gotten a decent amount of physical and electronic mail on why he should attend. I think highly ranked schools have an incentive to convince admitted students to attend to keep their yield rate high, which factors into their ranking.
If a reputable college really wants a student to attend, their financial aid office will generally find a way to lower your costs. Or else they will deny your application, or at best load you up with ugly Parent PLUS loans.