First, you are assuming that if people have technology available, they are compelled to use it. This is simply not true. Many creative writers today still prefer to work longhand before inputting their work to a word processor, and painters and sculptors still work by hand; paintings and photographs are...
First, you are assuming that if people have technology available, they are compelled to use it. This is simply not true. Many creative writers today still prefer to work longhand before inputting their work to a word processor, and painters and sculptors still work by hand; paintings and photographs are different media used for different purposes.
In the case of word processing software, while it does make work easier to prepare in its final form, it really does not change the act of organizing and shaping language to any great degree. The economic changes underlying theater from an individual patronage system to one in which plays are either supported by non-profit organizations, governments, or ticket purchases, would have been much more significant, as would the advent of films which compete with live drama. Thus the only real difference word processing would have made to Shakespeare is slightly reducing the time needed to produce a fair copy of a manuscript and to make revisions.
For Michelangelo, again, a DLSR might have helped in enabling him to take pictures of models as well as using live models for some parts of his work, but realistic painters and sculptors still rely on live models for much of their work. As to whether Michelangelo would have taken up photography as well as painting and sculpture, we can't really tell. Basically, the new medium of photography would not necessarily have made any difference at all to him.
For yourself, doing without the internet is no real obstacle to communication or research; people were doing both perfectly well before the internet was invented. You can use the telephone to call people, write letters, and socialize face to face. For research, most towns have public libraries as do schools and universities. Doing research by reading print allows you to learn in greater depth than just skimming whatever pops up on search engines. If you are new to using libraries, librarians are very good at helping new patrons learn how to do library research.