The major semi vendors have microcontroller-based LLC reference designs. Here are a couple of links from Infineon to get you started - google is your friend to find many more. (I know that both TI and ST have similar reference designs).
https://www.infineon.com/cms/en/product/evaluation-boards/eval_600w_12v_llc_c7/https://www.infineon.com/dgdl/Infineon-ApplicationNote_EVAL_600W_12V_LLC_C7_with_600V_C7_XMC-AN-v01_00-EN.pdf?fileId=5546d46253f6505701544cc1d15c20d7Dithering has its drawbacks - I've seen higher-resolution PWMs used in cases where tighter freq control is required. (But for a practical product, such techniques are better avoided where possible.)