HDR is most affected by the compatibility of the homology arms. So designing good homology arms is essential for HDR. Go to this website for detailed information on how to optimize HDR.
https://www.addgene.org/crispr/zhang/FAQ/
Scroll to the HR section. It is detailed and useful!
According this recent published p53 could inhibit HDR in some cell types, maybe can you add Pifithrin-a in the culture medium to inhibit p53 momentarily during the gene editing.