I think that the sun is going to be a "problem".
You can show the sun as a whole but then the scale is such that detail like the granularity is lost. That seems to need either imaging and processing or you pick a small bit and try to drag it out. Seeing a patch of the sun's surface is not impressive.
The one time I saw such as you want was at a show and the person was showing how to image the sun. They picked a "huge" flare on the edge. Catch was it was a huge flare in reality but at the distance of the sun it looked close to insignificant. They had to zoom in on that portion of the sun.
In angular terms the solar events are small, and so what people see is small. Experience has been that a sunspot in a Herschel wedge with continium filter through an 80ED, even an achro, has greater impact.
From events that have solar scopes and white light scopes I do find that people are (unfortunately) slightly unimpressed with a Ha solar scope. As you say "It is red". To get the benefit of a Ha solar scope needs more then just pointing one at the sun.
Another factor is that 1 scope may be difficult, too much to do. Image the sun and there is a flare, to bring out that flare someone needs to center and zoom in. You will find it difficult to talk about the initial solar image then stop, center the flare, and then carry on. Also the flare (narrow field) needs to remain centered. One outreach I visit uses 3 scopes, so while 1 is the subject the others are acquiring the next target and having it ready. Nice continuous flow.
I do wonder if this is a case of an Ha solar scope impresses us, but to the general public it is just a red image?