In Hungary it is almost impossible to avoid tolled roads, since not only motorways and expressways are tolled but also some primary main roads.
But if you can avoid all toll roads, you will not require an e-vignette or pay the HU-GO.
Learn more about toll roads and exceptions for the e-vignette here and please note, there are even more HU-GO tolled roads.
Related articles:
Which roads require a Hungarian e-vignette?
Can I drive until the first exit on the highway in Hungary without a vignette?
Penalties for driving without a Hungarian vignette