That's why we at the HRAS request the reinstatement of the half elf and half orc to the PHB and the inclusion of the half dwarlf. And not by it's slave name, the mul, but as name that calls to its proud dwarven blood. Keep Half Races!
One of my favorite series (Glen Cook's Garrett stories) is full of lots of beings that are part one thing and part another, or have an ancestor back aways contributing some giant or gnome characteristics. Some rules for balancing choosing things from different races to make ones own (but not allowing for just picking all the really strong characteristics) feels like it would be neat.