How can I parse, modify, and regenerate the AST of a TypeScript file (like jscodeshift)?

Does ts-simple-ast fit your needs?

import { Project } from "ts-simple-ast";

const project = new Project();

// ...lots of code here that manipulates, copies, moves, and deletes files...
const sourceFile = project.getSourceFile("Models/Person.ts");
const importDeclaration = sourceFile.addImportDeclaration({
  defaultImport: "MyClass",
  moduleSpecifier: "./file"
});

// when you're all done, call this and it will save everything to the file system
project.save();

https://github.com/dsherret/ts-simple-ast

https://dsherret.github.io/ts-simple-ast/

https://dsherret.github.io/ts-simple-ast/setup/ast-viewers

https://dsherret.github.io/ts-simple-ast/manipulation/

It looks like jscodeshift supports TypeScript (ts, and tsx) via --parser option since v0.6.0 (https://github.com/facebook/jscodeshift/releases/tag/v0.6.0).