Computer science degree?
Have you ever considered joining a flight simulator company, they are crying out for people and are taking on graduates.
If you are interested in aviation, building a variety of level D sims, learning about different aircraft cockpits and traveling the world installing them. Then give it go.
When the market picks up (and it will) you can jump to the real thing with some experience. Be pretty proficient at a sim check.
Alternately, you may decide that you cannot take the pay cut leaving computers or that it would be too boring sitting in a cockpit watching instruments instruments when you have already been involved in what makes them work !!!
Suggest you give it a go and use your salary to pay for weekend flying.
All the best.