There is NOT Possible with the described topology:
And it's simple:
The Network Cards or Wireless Adapters are managed by the operating system. When you put your system in Sleep Mode is like paused, and basically your system saves a stage in RAM to be able to recover it later, your computer lost the ability to manage those devices.
My Suggestion:
Get an Layer 3 Networking Device to provide Internet to all your desired devices in your network.