An arrest can lead to any number of serious problems and future complications. The emotional stress, humiliation and inconvenience of an arrest are never issues that should be taken lightly. Being able to arrange bail at the earliest possible opportunity can often be of paramount concern.
You won’t see the right to bail explicitly mentioned in the Constitution. However, the 14th Amendment note that no individual may have his or her life or liberty deprived without first undergoing due process of law.