> Does this seem like a reasonable project to do in Squeak? Is there 
> something to do remote procedure calls or otherwise communicate between 
> the clients and the server?

If its reasonable for Java, its reasonable for Squeak.  :)

For client/server programs, "Ma client server", on SqueakMap, may be of use to
you.  A server program can be written in one line of code.  See
http://minnow.cc.gatech.edu/squeak/2978.

Good luck,
  Chris