The expression "go that a ways" means to travel or go some distance. Antonyms of this phrase could include staying put or remaining stationary. Other options may include words such as stop, halt, or cease, which all convey the idea of coming to a standstill or ending movement. Conversely, antonyms could also be terms that imply moving in the opposite direction, such as retreat, backtrack, or reverse. Additionally, some antonyms for "go that a ways" could be phrases such as "stay nearby," "come back," or "return home," which all emphasize the idea of staying in one place or going back to where one started.