Using ContactNow you are presented with multiple choices of manipulating the data stored on your personal contact centre account, including turning off the recordings for any calls made/taken for certain queues.
On the main page of your contact centre account, go to:
1. Agents, Teams & Queues
2. Edit the desired queue on which you are willing to make this change
3. Access "Settings" tab > and the second showed option from top to bottom is "Call Recording" which by setting to "Off" will affect all calls made/taken via the respective queue and you will not be able to download any recordings for these starting with the time the change was made.
By default the option for Call Recording on queues settings is "On".