Just got a reply from Support. The answer is:
You can increase the vizqlserver query limit using the process below.
1. Open a 'cmd' window on the Tableau Server machine
2. Navigate to the 'C:\Program Files\Tableau\Tableau Server\5.1\bin' folder
3. Stop the Tableau Server using the command 'tabadmin stop'
4. Increase the vizqlserver query limit using the command 'tabadmin set vizqlserver.querylimit 60'
5. Update the Tableau Server's configuration using this command 'tabadmin configure'
6. Start the Tableau Server using the command 'tabadmin start'
You should test to see if the view displays. If not, you may have to increase the value again - I would suggest that you do so in 30 second increments until you have success.
Now, where to suggest a new feature...
This configuration is described in the Server Admin doc.
The value at the end of the command 'tabadmin set vizqlserver.querylimit 60' is 'Longest allowable time for updating a view, in seconds'
In 5.1, on p64 of server_admin5.1.pdf
In 5.0, on p50 of server_admin5.0.pdf
The sequence of actions required to apply the configuration(s) are on the pages immediately following, in both documents.