Yeah, University of Idaho does provide scholarships based on merit. Here are some of them:

Out-of-state Academic Merit Scholarships
Total Worth: $2,000- $8,000
Eligibility: $2,000- $8,000
Minimum Criteria: Accredited High School Unweighted GPA 3.0+
Separate application needed: No

In-state Academic Merit Scholarships
Total Worth: $1,000-$4,000
Eligibility: $1,000-$4,000
Minimum Criteria: Accredited High School Unweighted GPA 3.0+
Separate application needed: No

Boise Centennial Rotary Scholarship
Minimum Criteria: 3.0 GPA; full time enrollment

Stony Brook University provides aids at an average of 14202 per student meeting 70% of students need. 99% of students with need receive financial aid at an average of 10601 need-based grant. They also provide other scholarships including Alumni Association Black and Latino Alumni Network Scholarship and Alumni Association Past Presidents Scholarship.

Yeah, Stevens Institute of Technology does provide scholarships based on merit. Here are some of them:

The Ann P. Neupauer Scholarship
Total Worth: full-tuition
Eligibility: full-tuition
Requirement for maintenance: satisfactory academic progress and maintain a minimum GPA of 3.2
Separate application needed: No

The Edwin A. Stevens Scholarship
Requirement for maintenance: satisfactory academic progress
Separate application needed: No

The FIRST Scholarship
Total Worth: $6,000 per year
Eligibility: $6,000 per year
Requirement for maintenance: satisfactory academic progress
Separate application needed: No

Your statistics are below par for Stanford University. But the college applications are much more than just these scores. So, write good essays and get great recommendations and you might be on your way to Stanford University next year. Best of Luck!