There are several synonyms for the phrase "run to" that provide more descriptive context to the intended meaning. For example, sprint to can imply urgency or speed, while jog to might indicate a more leisurely pace. Other options could include rush to, bolt to, dash to, or dart to, all of which paint a slightly different picture of the action being taken. Another option is to use a preposition such as head towards, move towards, or make towards, which can help clarify the direction of movement. By choosing the right synonym, you can add nuance to your writing and make it more engaging for the reader.