Could you use the graphics port on your motherboard for one of the monitors and run the other two from the silent graphics card?
Can you install a second graphics card in your machine? Do you have sufficient spare slots?
Have you thought of using a USB connected external graphics card (I have no experience of these myself... but see https://www.amazon.co.uk/Plugable-Graphics-Multiple-2048x1152-1920x1080/dp/B00A2E1MQA/ref=pd_lpo_147_tr_t_2?ie=UTF8&refRID=AJ07SX6JX1598S2ZHC5Q for an example.)
Iain