I'm aware of one module, but only one, that includes the power path function. Search Ebay or Aliexpress for an MCP73871 module. I actually have one somewhere, but have never used it. The module comes with a giant 4700uF elctrolytic capacitor, and it doesn't have a USB port. And I think I concluded that it was set up for a maximum 500uA charging current. So it's far from an ideal solution.
I'd suggest you consider just adding the power path circuit between the TP4056 charger module and the boost converter. It's only three parts - the mosfet, a schottky diode and a resistor:
Or, there's a module called the 18650 Battery Shield V3 that contains the charger, the boost converter and the battery holder, which can be modified to add the power path (aka load sharing) circuit:
https://www.youtube.com/watch?v=T70mBHeIOZA
Edit: I want to look at the possibility of modifying the TP4056 charger module - the one with battery protection built in - to add the power path function. The BAT+ and OUT+ terminals are actually shorted together, but if you cut that trace, and reverse the functions of those two terminals, then I think you can add in the power path parts without an additional circuit board - except a little adapter board for mounting the SOT-23 mosfet package. I may give that a try when I get some time.