Due to pump source restrictions, Nuclear-Pumped Lasers (NPLs) typically have relatively long (micro- to milli-second) pulse lengths with only modest peak powers but with very high total energy. These pump power restraints seriously limit the choice of laser media. One way to avoid this problem is to employ a Nuclear Driven Flashlamp (NDF) for the primary pumped element in the system. The fluorescence from this NDF can then be used for pumping a laser or for other high intensity light applications. The first experimental example of this approach was a 3He-XeBr2 NDF employed by Williams and Miley (1993) to pump a small iodine laser. The present paper discusses issues involved in scaling such an NDF up to high power levels. Possible optimum configurations include use of microsphere or fiber pump elements dispersed in the NPF media. Analysis of such possibilities is presented along with consideration of special reflecting surface designs.