Sasuke could be his rival. Sasuke is known for his competitiveness and would see Naruto's entry into the Need for Speed world as a challenge. He would use his Sharingan to analyze Naruto's moves and try to outdo him on the race track.
Well, in certain fanfictions, Naruto's super speed is often linked to his chakra control. By manipulating his chakra in a unique way, he can enhance his leg muscles' power, allowing him to run or move at incredible speeds. This super speed also enables him to perform his signature jutsus more effectively, like the Rasengan. He can close the distance between him and his target very fast and land the Rasengan before the enemy can react.
Naruto's standalone volumes are published at different times depending on the author and the publishing house, but usually, the time between each standalone volume is about two years. In Naruto Continent, the speed of the release of a single volume depended on the publishing house and distribution channels. Some publishing houses would delay the release of the book while others would quickly release a new single volume. In some cases, the publication time of each individual book could be as long as several months or even months. In general, the release of Naruto Continent's standalone volumes was relatively slow, but it was still one of the most popular books in the Naruto series.
Well, Naruto would become extremely fast. He could zip around the battlefield in an instant, catching his enemies off - guard. His combat style would change drastically as he could now close the distance between him and his foes before they could even react.
Definitely Gai. His whole shtick is about speed and he has amazing techniques like the Eight Gates. He can teach a lot about physical speed and the willpower needed to push one's limits. Also, Minato is a great choice. His Flying Thunder God Technique requires incredible speed and reaction time, so he could offer valuable insights.
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His power level would skyrocket. The Speed Force gives him the ability to move at incredible speeds, which adds a whole new dimension to his combat capabilities. He can now dodge attacks with ease and also deliver rapid - fire strikes.
Sasuke is often one who can keep up. He has his own incredible speed and Sharingan - enhanced reflexes. Another could be Minato, Naruto's father. Minato was known for his speed, so in fanfiction, he might be able to match Naruto. Rock Lee in his Eight Gates mode could also be a contender as he can achieve insane speed.
One common theme is self - discovery. Characters with the speed bloodline often have to figure out the full extent of their powers. For example, they might not know they can use their speed for time - space manipulation at first.