In visual conditions it would be a total non-issue - GPS/VOR/IRS guidance to the airport (or radar vectors or pilotage), with a visual landing.

For an ILS approach to minimums in hard instrument conditions, it could be problematic - especially if you are off course and don't realize it. There are minimum safe altitudes on approach plates that could be violated if you are way off course (putting you into a TV tower, for example).

I'm not an airline pilot but I am pilot. I'm not aware of anything better than ILS for those types of conditions (very low ceilings and visibility). VOR/NDB approaches are non-precision approaches. The GPS I have access to does not permit a precision approach - maybe the airliners have something better.