I have longer fingers that make playing the organ/piano difficult. Can someone give me advice, I'm frustrated?

Sometimes I see players with what appear to be larger hands sit further away from the piano. I also see people play the white keys less toward the front of the keyboard and more along side the black keys. This is done more on the organ since less leverage is needed to press the keys down. Ironically many of the organs I've played have smaller keys than a piano and so it's cramped just enough between the black keys that my fingers can't use this technique. My Hammond tonewheel organs ( M3 and B3[ actually A100...same thing different box]) had this issue. Now I prefer to play a combo organ and fortunately I have finally landed an organ I really like. The great thing about this organ is that it's keys are as big as a pianos keys. So this is a first for my big hands- larger piano size keys on an easy to press organ. This is the reason I am asking for advice. I really want to be able to play more relaxed and have my fingers sit more naturally on the keyboard. Thanks for any pointers.