A BestFirst on CPU and MiniMax-playout with NNUE eval GPU design could utilize the AB-framework of the Zeta v099 gpu-engine. But considering just an ply 1 + quiescence search an alternative implementation as LIFO-stack seems reasonable. This would simplify the iterative implementation of an recursive AB search for GPU architecture. Couple 32 gpu-threads to run on one SIMD unit of the GPU, use these 32 threads for move generation (piece-wise parallelization) and NNUE evaluation inference, store the game tree as an doubly-linked list in VRAM, apply LIFO-stack based processing on game tree with AB pruning, something like this.

Followup:

ups, too much coffee....LIFO would not work with NNUE, but a classic NN ;)