What I've found with my 2E child was that the school didn't do the correct evals so there were no areas of need that showed an IEP was needed. The areas my daughter struggled with were pragmatics and social skills. When they did evaluate social skills, my child scored in the 2nd percentile. (I was told that kids with ID - Downs Syndrome - scored around the 8th percentile.) I had to beg for pragmatics to be evaluated. They did the TOPL but not the optional extended part. She scored average but I think she was able to mask her issues due to being gifted & I was told the extended part would have pushed her past her limits. About 9 months later, I was at an IEP meeting and they said they see issues with pragmatics & I brought up the results of their testing. There are assessments for executive functioning - they tend to be rating scales where the adults fill them out. You can ask for the school to look at that. My child had a 504 for EF. She had a teacher who checked that she was writing down her assignments and bringing needed material home for homework.
I feel that schools don't say what they do in sp ed because there is such a wide variety of what services a student can need. In older grades, they teach cooking, cleaning, shopping, budgeting, how to ride a bus/train, read a bus schedule, job skills through job shadowing & volunteer jobs. I was told if the school doesn't currently offer something that meets a student's needs, they have to come up with a way to meet them - could be in another school/district too.
I'd rather my child get evaluated and get the support they need than be suspended. Did you share your results from the outside eval with the school?
Gifted students will often not be academically challenged in the younger grades. They don't 'learn how to learn' because of this. At some point - generally toward middle school, they hit a wall and can't figure out something because they lack the skills. This is when they will tend to misbehave. Your child might not feel it's OK to ask for help but we all need help sometimes. Mention the times you ask for help. Let her know you don't know about plumbing and don't have the tools to put new tires on your car's rims...or put a roof on your home or raise cattle for beef. We all lean on each other.