There are philosophers suggesting exactly that. To quote the promotion text of the recent book What Do Philosophers Do?: Skepticism and the Practice of Philosophy by Penelope Maddy (Oxford, New York: Oxford UP, 2017):
How do you know the world around you isn't just an elaborate dream, or the creation of an evil neuroscientist? If all you have to go on are various lights, sounds, smells, tastes and tickles, how can you know what the world is really like, or even whether there is a world beyond your own mind? Questions like these -- familiar from science fiction and dorm room debates -- lie at the core of venerable philosophical arguments for radical skepticism: the stark contention that we in fact know nothing at all about the world, that we have no more reason to believe any claim -- that there are trees, that we have hands -- than we have to disbelieve it.
Like non-philosophers in their sober moments, philosophers, too, find this skeptical conclusion preposterous, but they're faced with those famous arguments: the Dream Argument, the Argument from Illusion, the Infinite Regress of Justification, the more recent Closure Argument. If these can't be met, they raise a serious challenge not just to philosophers, but to anyone responsible enough to expect her beliefs to square with her evidence.
What Do Philosophers Do? takes up the skeptical arguments from this everyday point of view, and ultimately concludes that they don't undermine our ordinary beliefs or our ordinary ways of finding out about the world. In the process, Maddy examines and evaluates a range of philosophical methods -- common sense, scientific naturalism, ordinary language, conceptual analysis, therapeutic approaches -- as employed by such philosophers as Thomas Reid, G. E. Moore, Ludwig Wittgenstein, and J. L. Austin. The result is a revealing portrait of what philosophers do, and perhaps a quiet suggestion for what they should do, for what they do best.
So the answer is (according to Maddy): Even if skepticism is not ultimately refutable (solipsism can be shown to be contradictional, as can radical skepticism - a point made by Tim Button in his 2013 book The Limits of Realism as well), it is philosophers who can face and discuss the skeptical challenges - skeptical challenges based in everyday experience and not in armchair philosophy - best.
It remains questionable whether this is the only field where philosophers are "best", considering that it is ultimately analysing and discussing premises and positions, regardless of the field in which they occur.