On the inside interface, can you try to add the following:
access-list dns permit ip any any
access-group in interface inside
This should permit any traffic.
If you are still facing the issue even after adding the above command, then there is a problem in the response packet.
The inspection check is failing, there is something in the response packet for which the ASA is dropping the packet.
As per the Cisco error doc, this error would come, if the response comes from a DNS server that is different from which the request was sent to.
May be, if you can put the complete picture of your deployment, it would be be helpful.
CCNA,CCSP,CCNP,CCIP,CCIE #35914 (Security)