Not sure if it is still doable, but one of my A&P instructors at the school I went to got his experience threw building a homebuilt. He built a KR-2 from scratch and documented every step of the process and had an A&P document and signed the work experience. I would call your local FISDO and see if they would be open to it.
With that being sed don’t work on peoples airplanes for fun. I have been a A&P IA for 15 years and start training at a regional in June. At that time I will never sign off another plane again. I have seen to many of my friends get caught up in frivolous lawsuits. The last one the pilot ran out of fuel in a 1940’s J-3 cub, and sued my friend who did the annual because he claimed the fuel gauge didn’t work. If I were you I would just build a homebuilt to satisfy that salt of the earth side of aviation.