Whenever it rains or snow melts in the winter these rain guards drop water right in front of the walkway which freezes and causes an ice mess. I am reluctant to add a gutter section because no other part of the house has them or run off issues. Might look weird if only one edge of the house has gutters. Was wondering if there's any solutions that don't involve annual maintenance ie cleaning.
Sure, there's a solution that requires no annual maintenance (well, no more than the whole house needs) but that would be to rebuild the roof so it does not dump there. Which you might consider a rather major task, but hey, you asked. Thank the architect for causing the problem for you.
Simplest solution will be a section of gutter and a section of heating cable (run only as needed) to keep the downspout and gutter functional with ice. But you might need to clean it, yes.
Most absurdly expensive solution to operate would be to retrofit ice-melting heat (electric cable or fluid/heat exchanger) into the walkway itself. Truly crazy expensive to run, but some places do that.