Yes, the T/S parameters define a driver precisely, very precisely in fact, in terms of box tuning design. There are many autocad type programs for modelling a speaker, that greatly speed up the design and do it accurately. There are also programs to assist with crossover design.
One would need more information than that to begin a design process. Price, one or two, associated equipment etc. A sub needs to be thought of in terms of total system design, but I admit it often is not, and that can, and often does, compromise results.
I likely have some designs on file that might fit your description. I am off to Mayo for testing
