Calligraphy is, by definition, beautiful handwriting, so it is a subset of handwriting.
Chinese calligraphy is traditionally written with a brush and has a strong aesthetic emphasis.
I don’t want to write with a brush, and not necessarily beautiful, just 1. easier and faster and 2. like a natural handwriting.
In that case, just use a pencil or pen and go with something like the Fred Fang-yu Wang which Ironlady recommended, and which has been discussed in two previous threads:
[Forumosa - Taiwan's largest and most active Taiwan-oriented global online community in English … 4#p1087684](I don't like my neat, blocky elementary school style characters
[Forumosa - Taiwan's largest and most active Taiwan-oriented global online community in English … 89#p159489](Chinese Handwriting