The phrase "giddy-paced" refers to a state of speed or movement that is often associated with dizziness or a loss of direction. Synonyms for this phrase could include "racing," "frantic," "manic," "hurried," "turbulent," "agitated," or "frenzied." These words all convey a sense of urgency or haste, but may also imply a lack of control or organization. In contrast, synonyms for a more controlled or measured sense of speed might include "steady," "moderate," "rhythmic," "calm," or "deliberate." Depending on context, any of these synonyms could be used to convey a similar sense of pace, but with different connotations or shades of meaning.