Search online for real wood computer desks to find manufacturers and suppliers. Put your search term in quotation marks to find more precise and specific information. Bookmark any pages featuring desks you like to make comparisons.
Visit any stores found online that are close enough to get to. Sit at any desks you like and work out whether your computer and peripherals could be placed satisfactorily. Find out about delivery times, which can run to several months. Many manufacturers use a build-to-order approach these days.
Visit secondhand furniture stores to look for real wood computer desks or other desks that could be repurposed as a computer desk. Talk to the vendors to find out how the desks have been cleaned and restored. Check that drawers open and close properly, that legs are not wobbly and that the desktop is not too badly scratched or worn.
Visit libraries to find useful books on the subject, such as "Ultimate Homebased Business Handbook" by James Stephenson and Rich Mintzer. For a more historical perspective on styles of tables that might serve as a computer desk, consult a book such as Thomas Arthur Strange's "English Furniture."
Seek out artisans who make furniture, especially those who are highly skilled but don't necessarily have websites or market their products aggressively. Ask about the cost of having a desk specially made, which might not be as expensive as you thought. Commission a beautifully constructed piece to your precise requirements if your budget allows.