Im an university student in Europe. I already had some experience with professional photography. I did multiple shootings for businesses and some for hotels. I also sold one of my images as a cover photo for a small magazine. But those successful jobs are very occasionally since Im not 100% focused on professional photography. Most of the time I take wildlife images just for my own pleasure. But those small jobs actually helped me to afford some high end camera gear over the years.
Now the press department of our university came across one my images and they asked me to sell a picture I took too them for online and print usage. The image is a HDR image of one of our main buildings at sunset. It is taken with a tilt shift lens and has decent quality (Mike Kelley is my idol). So it is not an image taken with a smartphone with a skew horizon. In my eyes it is a much better photograph than the picture of the same building they are currently using on their website. They asked me to tell them how much I would charge for that image and I actually have no idea.
Of course I would like to sell that image but I would prefer to take a few more images for them. Not necessarily to make extra money but to expand my portfolio instead. It would also be a personal achievement for me to say that I worked for my university as a photographer rather than having sold a single image to them.
I have seen their archive of images they are typically using for online and print usage and Im sure I could take much better images than they currently have. What would a good way to ask for that? I dont want to blame them for their images. The fact that Im currently a student at this university and that I would not charge the same amount as a full time professional could be an argument to make.
Also: How much should I ask for if they let me take more images? And how much should I ask for the one image they already wanted too buy if they dont want me to take more images?