Some good ones to look at to get started with nice guis
- VSP Aero
- XFOIL (for 2D airfoil analysis only, also generates inputs for 3D VLM solvers)
- AVL
And some others if you want perhaps a little higher fidelity, and don't mind text/code interfaces:
-FreeWake
- Datcom (not technically a potential flow models, but a database)
To get the most value out of these softwares, you will need some background in aeronautics. You need to have an understanding of what a potential flow models can and cannot accurately model. It also helps to have knowledge about what forms aircraft stability/control and performance data is typically communicated in, as these softwares will use that terminology.
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.
Even for a finicky flying wing, I think if you keep an eye on the way the pitching moment shifts with pitch, I don’t see why picking an airfoil shape for the frame and hand calcs couldn’t get you to a design that flies reasonably.
I've used neither but I hear others in the gliding and model airplane scene talk about those.