There is nothing wrong with you doing the program mentioned in the question, so long as you write in the advert “Profits raised by this project will go to support the work of the da’wah office”. Thus donors will be aware of the situation and will understand that you are going to make a profit from this program, and that this profit will support the work of the da’wah office.
You do not have to tell donors exactly how much the profit that you are going to make will be, because the one who is taking part in this program is doing so with the intention of giving a charitable donation, not with the intention of entering into a business transaction, and it is known that charitable donations are usually based on tolerance and not on competition.
We ask Allaah to bless your efforts and benefit others through them.
And Allaah knows best.