[SonicScrub]

The 2D model alone maybe be sufficient for OPs needs, but I'd advocate for going at least a little further with some form of 3D model. The wing tip effects are significant enough to warrant some form of "next step" after the initial 2D analysis. Although simple algebraic relationships are likely good enough to satisfy this end.

However, the 3D tools above give you a little bit more, that I feel warrant their consideration by the op. These models can yield performance of wing-tail-body configurations that include wake effects. They also can give stability analysis in both longitudinal/lateral axes. The stability effects being especially important if OP wants to design a flying-wing, which are a tad more challenging to get right than just slapping a "good-enough" sized tail on a classic config plane.