Did this once. Aligned it with our trip to go down to TSSEC in San Marcos when that was there. Most of our jazz band had qualified for TSSEC so we had a jazz band performance on the State Capitol. State representative was there; we took pictures but he had a nice professional picture sent to the school of the event.
It was very hot to do that performance around noon on the steps of the Capitol in late May; Driving around Austin downtown in yellow bus was not that much fun; but I'm glad we did it; and it was a good chance for the students of our small school to see an important place and perform at a cool venue.
It couldn't be worse than a small school Honor band. You have to drag all your equipment to San Antonio for a few parents and an unappreciative bunch of band directors. Of course there would be fewer critics at the capital (maybe).
I've done it three times. You need a legislator to sponsor your performance, so you'll want to reach out to your state rep or senator. If they are any good, they'll make sure they are present because it is a good photo op for them. Our students have all enjoyed the experience. However, like others have said, you have to bring in all your own equipment and your group will most likely be your only audience. We've performed in both the indoor and outdoor rotunda. The indoor rotunda is a MUCH better place to perform!
it's cool for your school to say did, good PR, but you will need to take chairs, stands, everything, and most likely the only audience will be your parents. So if you sell it back home it' can be good pr, other than that it's a pain.
I did it once and found it to be very worthwhile. Are you familiar with the process? You need to be nominated by a senator and they submit a form. You need to bring in all your own equipment so we opted to use wire stands and stand and play instead of trying to bring chairs. We played a program of mostly patriotic music and closed with Texas our Texas. Lots of great photo opportunities and we live-streamed the concert so parents could watch. Before the concert, we took them to Mozarts Coffee Roasters for breakfast by the lake. Very enjoyable day.
I did through someone at my school that knew our local rep. Here is the link to show you the process and required paperwork. If you need info from me directly, I'll be happy to assist. Just say so and I'll share my info.