Understanding fluctuations of nonequilibrium observables across stochastic trajectories is essential for various fields of research, from quantum thermal machines to biological motors. We introduce a framework to analyze the statistics of counting observables over the recently introduced concept of stochastic excursions. Our approach offers analytical expressions for currents, heat, entropy production, and more, capturing their correlations and finite-time fluctuations. As main results, we show how distinct noise sources contribute to fluctuations, and prove a fluctuation theorem for excursions that reveals a precision-dissipation trade-off. We illustrate how these results provide new insights for the experimentally realized absorption refrigerator. Lastly, we show how observing excursions can be used to infer thermodynamic quantities, discussing their connection to previously established methods.