My DD (age 8) has similar scores (higher in perceptual reasoning and lower in verbal but a similar FSIQ and similar GAI around 150). Ask about extended norms...DD's GAI with extended norms is 155 because she scored two 18's and a 19 in terms of scaled scores. Same lowish processing speed but good working memory. She also has ADHD. The psych didn't calculate extended norms for her and it's not in any written report on DD, but I found the technical report for computing extended norms online and did it myself.
I'm curious why the psych thinks dysgraphia? I suspect this with DD but the only "symptom" she really displays is that she writes slowly. There aren't any reversals, her spelling is Ok, her handwriting is decent, etc. She's just slow. Psych blames ADHD but I can't figure out if it's more than that. My DD's reading is fine and her reading fluency (in terms of correct words read per minute) has always been 98th-99th percentile. It makes no sense to me how she can have low processing speed and slow writing but reads so fast and fluently. You might want to ask the psych about dyslexia since that often goes with dysgraphia and it sounds like she's having a problem with reading.
So far my DD doesn't have a 504, it's probably something I will pursue in the fall, though, when she is in a better school. I'm not sure what accommodations we will ask for other than a reduced written workload if she can't keep up, and more time for tests.