There are 2 ways this is typically done. The easiest is if you have a custom cut gobo that fits in an existing Source 4 focusable instrument. (https://machineartist.com/products/custom-gobos) This will give you a simple single color logo you can project on the front curtain or back wall. You'll need to check with the venue to make sure they have the correct fixture and lensing to do this.
You can now also get custom glass gobos that will give you a color logo (https://www.pnta.com/expendables/gobos/custom/custom-printscenic-glass-pattern) Again, just confirm that their instrument can accept these or purchase the instrument yourself and bring with you.
The last option is that many theaters now have video projectors in house. You can simply provide the media for them. Sometimes there is an additional charge to use them, sometimes it comes with the venue. They typically don't have as much luminance when projected onto a rich velour curtain as opposed to a white projection screen but can work on a curtain in some cases.
Hope this helps!