CG location of invert V-tail and push engine
Tail configuration and power system have little to do with the CG requirement.
If you have an adequate tail surface area... the proper CG will be within the normal 25% to 35% MAC range.
If the tailplanes are small and/or close to the main wing... you might end up needing to go with the flying wing range of 10% to 20% MAC.
Airfoil and incidences have more effect on CG range than the tailplane shape/style.
The engine placement will only change the thrust lne requirements. (and where the other stuff goes to get the correct CG....)