Near resonant pumping of solid-state lasers offers the potential for high efficiency and minimal thermal loading. These lasers inherently operate in the regime where fluorescent cooling plays an important role. Here a model is developed to optimize efficiency and minimize heating for these laser systems. The model incorporates realistic background absorption and excitation quenching. Beyond the conventional laser modeling, this s includes both radiative cooling and fluorescence trapping. The model is illustrated with simulations of Yb:YAG lasers.