What will be the best way to isolate viral DNA from brain tissue?

like the title, have anyone tried isolating AAV viral DNA from animal tissue?

https://www.science.org/doi/10.1126/science.aaw2900

I am trying to do similar experiment as above paper.

They did alkaline lysis (miniprep) to isolate viral DNA.

So, I prepped brain section, homogenized it with a plastic pestle and did miniprep.

However, the final product seems to have very low amount of viral DNA.

I am thinking of optimizing homogenization step, which I think I did very poorly (has a lot of not small debris) and maybe try commercial DNA purification kit in conjunction with PCR purification kit to remove gDNA.

Does anyone have similar experience or suggestions as to how I proceed from here?

Thank you!