Well, as the process can arbitrarily change which stdin it is connected to, as stdin is a file, you need some way to still issue directions to that process.
However, for the general case, your terminal probably supports sending sigint via ctrl + c, siquit via ctrl + backslash, and the suspend/unsuspend signals via ctrl + z or y. Some terminals may allow you to extend those to the various other signals you'd like to send. (But these signals are being handled by the shell - not by stdin).