Design parameters of the origami flasher pattern can be modified to meet a variety of design objectives for deployable array applications. The focus of this paper is to improve the understanding of design parameters, objectives, and trade-offs of origami flasher pattern configurations. Emphasis is placed on finite-thickness flasher models that would enable engineering applications. The methods presented aim to provide clarity on the effects of tuning flasher parameters based on existing synthesis tools. The results are demonstrated in the design of a flasher-based deployable LiDAR telescope where optimization is used to converge on optimal design parameters and the results are implemented in proof-of-concept hardware.