From what I've read it's preferable to manually configure the DNS servers and specify the gateway, under System -> General Setup, and unchecking "Allow DNS servers…"
This is how I've configured it in my multi-wan scenario, two vdsl connections with different ISPs. This ensures that queries are routed out the correct gateway mitigating issues you describe.
Also, it looks like your client device is appending the domain suffix to your query so you should add a full stop after it, e.g. host google.com.