In the United States, we call DIY aircraft "homebuilt" aircraft. They are licensed "experimental" under our FAA regulations. There is a national organization called the Experimental Aircraft Association (EAA) that helps builders and champions their causes with the FAA. The EAA also has international membership. I suggest you contact the EAA for help.
There are numerous, relatively inexpensive handheld transceivers that are legal to use in airplanes. I suspect building one from scratch and getting it approved for use in an airplane, even if possible, would cost you much more than buying.
I should add that handheld units are not assigned to a particular aircraft. So, you may consider borrowing one to use for your test flights.
John