Need some safety schools please [3.77 GPA, 1460 SAT, tri-state area for Engineering]

If you haven’t done so, check out the Common Data Sets for schools that you are considering. Section C7 tells you how different academic and non-academic admissions factors are weighted by a school; Sections C9-C11 give objective information for recently matriculated students, which may in turn give you a crude estimate of how you compare with them for admissions purposes. If your child falls within the top 20% or so of test scores/GPA for matriculating students at a given school, then that school might be considered a “safety.”

As for Purdue, here is a link to its Data Digest: https://www.purdue.edu/datadigest/ . If you do the interactive link at “Applications, Admits, and Matriculations,” you can get some idea of how your child compares with other OOS applicants. The link to “New First-Time Beginner Profile” gives objective information on recent first-year students; it is a way to compare your child’s stats with those of recently matriculated Purdue students, and perhaps get a rough estimate of your child’s admissions chances. As others have noted, it is probably not a “safety” school for your child.