You do understand that a film that requires a two stop push is two stops under-exposed? That means 1/4 of the light that the film was optimized for.
Push development helps rescue as much as you can, but under-exposure has a terrible effect on the quality of negatives. All it really does (mostly) is boost contrast for those parts of the image that are under-exposed, but have at least some density in the negative.
And then that contrast boost is made less effective by employing stand development.
Using Rodinal can compound the problem, because it results in less than optimum film "speed".
If you are trying to learn how to expose and both scan and print film, avoid push development, and avoid scan development. And if you are going to use Rodinal, rate your film at a lower EI - at least 1/3 of a stop lower, and accept the fact that Rodinal will give you Rodinal grain.
Once you have had regular success with that, you can consider experimenting with using higher EIs, push development, and stand development. You may find, however, that you will share my reaction - that the results from that combination are not to your liking.