Well I have some good news regarding Davinci Resolve and my computer, they asked me to send them some hardware reports and the crash reports, and recommend me to check on AMD’s site for driver updates, I had already checked for updates from device manager and it came back as there was not a better driver available. Davinci Resolve sent me a link for AMD’s driver update page.
I could not find an update for my particular AMD GPU, but I did find an auto-detect and instal app, so I downloaded that and ran it, it took quite a while but eventually asked for a restart to complete a new driver installation.
Did the restart and checked the AMD GPU in device manager and there was an updated driver. So fired up Davinci Resolve and it has been fine ever since, not done much since but have repeatedly done what used to cause it to crash with no crashes.
I must say I am very impressed with the customer service and the speed with their response to me contacting them even though only using the free version. So if you have any problems get in touch with them.
This a link straight to their support centre, you can call them or email them, which is what I did.