Hello Do you need send your sound to Omegle ? if Yes , you need in omegle microphone choose splitcam audio mixer like you choose in camera : SplitCam virtual driver .
And you real microphone you need to add to splitcam in splitcam media layers by clicking on + and choose microphone there.
Sorry it's impossible, SplitCam Virtual driver not working without interface.
But you can configure your SplitCam only first time , after, it will be work automaticly. Just choose in splitcam what you need like a webcam screen and etc., after save project. Go to Zoom and choose in video setting SplitCam Video Driver and you will see splitcam into Zoom. If you reeboot pc you just need to start SplitCam and Zoom , you don't need to configure something else.