April is mostlikely too late for the skiing in the Black Forest. Thus you'll have to head to the Alps.
Karlsruhe/Baden-Baden Airport (aka Baden Airpark) to Interlaken needs mostly 4:21.
From: Baden Airpark
Baden Airpark to Baden-Baden is EUR 3,00 (for your) + 1,50 (for your son)
Baden-Baden to Interlaken Ost is EUR 68,00 + 0,00
Interlaken is in the Bernese Oberland, which is (to my estimation) the closest area with safe skiing in April.
Interlaken itself is not really a ski resort, rather a railway know and "base camp" for this region.
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