Slightly different implementation, but will do what you want:
LaunchBar keeps a history of your clipboard, so you can copy multiple things using the usual keyboard combo ⌘ - C and then paste them using (for me, I may have changed from the default):
- hold down ⌘
- tap \ to view clipboard history
- tap ↓ until desired clipping is selected
- release ⌘
I've found it to be a pretty useful workflow. I do have to flush the clipboard history after dealing with passwords though. I keep it set at 10 items to limit my exposure if I forget.
Launchbar is free to try and $35 to buy.
I'm not sure how they limit the free version now, but back before I bought it they let you do five types of activities per login, so you could do the copy, paste, and clipboard history deletion freely without running into the limit
I do not use it because I've found Launchbar to be more useful, but it looks like Alfred includes clipboard history in the unlimited free version.
Based on the screenshot it looks like Alfred uses shortcuts closer to what you wanted.