I'm gonna chime in and first pick a less busy day than Monday because a lot of people, especially those with kids hit MK first, so they won't be at Epcot. La Cava...some might like it, some not.
Why not a more neutral place that does not require admission...say DTD. Could meet at one of the fountains, or over at the green sea serpent at Lego, everyone knows where that is. Everyone could talk, take pics and there are a lot of things for different participants to do, a wide variety. Some might like Earl, some HOB, some Goofy's Candy, some Ghriradelli, but all can have a nice time and it can be as brief or as long as you want to say your hellos. Then from a location like DTD everyone can either go wherever to finish out their evening at a park of their choice for fireworks, or some might like to hang out together for a longer period of time. Just my two cents worth...valued at $37.50.