Assuming that SDSU is San Diego State University (versus South Dakota State University), it does not use The Common Application or counselor reports. The applicant uses the CSU application and enters all high school and college courses and grades into the application.
South Dakota State University also requires art for frosh admission. It looks like they want transcripts on application. Ask directly if you have questions.
Arizona State University wants either self reported high school courses and grades or transcripts, and also wants college transcripts for any college courses taken.
University of Arizona specifies self reporting of high school courses and grades; the web site does not mention college courses taken while in high school, so ask directly about it.
It does not look like any of the above care why she took a summer college course instead of a high school art course. As long as the school accepts the college courses to fulfill the art requirement, that should be sufficient.