It is viable provided that you note that keys and indexes must be declared on each child table.

In fact this is pretty close to an ideal use for table inheritance.  Just make sure you are familiar with the gotchas, and that you pay close attention to foreign key creation in the user schemas.

One caveat is that you can't cascade CREATE statements into all the schemas.  This would have to be scripted.  You could however create plpgsql functions to do this.  Just note that such statements usually are not parameterized so you need to use quote_ident() and quote_literal as appropriate.