library(tidyverse)
### Data retrevial
CollegeScorecard <- read_csv("http://jsuleiman.com/datasets/CollegeScorecard.csv")
### Removal of NA and blank values
CleanedCollegeScorecardSAT <- CollegeScorecard[!(is.na(CollegeScorecard$SATMTMID) | CollegeScorecard$SATMTMID=="" ),] 
### Removal of rows below 520 Median
CleanedCollegeScorecardSATmedian <- filter(CleanedCollegeScorecardSAT, SATMTMID > median(CleanedCollegeScorecardSAT$SATMTMID))
###Removal of rows not including Southern Association of Colleges
CleanedCollegeScorecardSATAccred <- CleanedCollegeScorecardSATmedian[CleanedCollegeScorecardSATmedian$AccredAgency
 == "Southern Association of Colleges and Schools Commission on Colleges",]
### Load Crime Data
CrimeStats <- read_csv("http://jsuleiman.com/datasets/Crime_2015.csv")
### Remove Blank and NA values
CrimeStatsNA <- CrimeStats[!(is.na(CrimeStats$ViolentCrime) | CrimeStats$ViolentCrime=="" ),] 
###Remove rows above or equal to the median
CleanedCrimeStats <- filter(CrimeStatsNA, ViolentCrime < median(CrimeStatsNA$ViolentCrime))
### Rename City to merge correctly
Crimestats1 <- CleanedCrimeStats %>% rename(CITY = City, STABBR = State)
### Join Crime Data and CleanedCollegeScorecardSATAccred by CITY and State
Joineddata = Crimestats1 %>% inner_join(CleanedCollegeScorecardSATAccred, by = c("CITY", "STABBR"))
### Removed NA values. Not sure if I needed to do this, but at one point I had some issues with NA
CleanedJoinedData <- Joineddata[!(is.na(Joineddata$INSTNM) | Joineddata$INSTNM=="" ),] 
### Sorted data by Midpoint math SAT in decending order
Sort <- CleanedJoinedData  %>% arrange(desc(SATMTMID))

Cornelia, their are 18 institutions that meet your criteria.

### Reported list for Cornelia
Reportingdataclean <- Sort %>% select(College = INSTNM, City = CITY, "Violent Crime Rate" = ViolentCrime, "Accrediting Agency" = AccredAgency)

library(knitr)
kable(Reportingdataclean)
College City Violent Crime Rate Accrediting Agency
University of Virginia-Main Campus Charlottesville 164.6 Southern Association of Colleges and Schools Commission on Colleges
Southern Methodist University Dallas 330.6 Southern Association of Colleges and Schools Commission on Colleges
The University of Texas at Austin Austin 287.7 Southern Association of Colleges and Schools Commission on Colleges
University of Georgia Athens 325.7 Southern Association of Colleges and Schools Commission on Colleges
Austin College Sherman 327.1 Southern Association of Colleges and Schools Commission on Colleges
Texas A & M University-College Station College Station 315.5 Southern Association of Colleges and Schools Commission on Colleges
University of North Carolina at Asheville Asheville 202.0 Southern Association of Colleges and Schools Commission on Colleges
Mercer University Macon 319.9 Southern Association of Colleges and Schools Commission on Colleges
James Madison University Harrisonburg 145.8 Southern Association of Colleges and Schools Commission on Colleges
Transylvania University Lexington 256.3 Southern Association of Colleges and Schools Commission on Colleges
University of Kentucky Lexington 256.3 Southern Association of Colleges and Schools Commission on Colleges
Dallas Baptist University Dallas 330.6 Southern Association of Colleges and Schools Commission on Colleges
Saint Edward’s University Austin 287.7 Southern Association of Colleges and Schools Commission on Colleges
Virginia Commonwealth University Richmond 236.5 Southern Association of Colleges and Schools Commission on Colleges
The University of Texas at Tyler Tyler 295.7 Southern Association of Colleges and Schools Commission on Colleges
Randolph College Lynchburg 180.4 Southern Association of Colleges and Schools Commission on Colleges
Concordia University-Texas Austin 287.7 Southern Association of Colleges and Schools Commission on Colleges
Hollins University Roanoke 213.9 Southern Association of Colleges and Schools Commission on Colleges