Combine sugar, salt, and egg yolks in a large bowl.
Whisk until light yellow, about 3-4 minutes. Set aside.
Combine milk and cream in a 2 quart saucepan.
Heat over medium low heat until just starting to bubble around the edges.
Add to egg yolk mixture, a little at a time, whisking continually.
Return to saucepan.
Cook and stir over medium low heat until mixture thickens enough to coat a spoon, about 8-10 minutes.
Strain through a wire mesh sieve into a clean bowl.
Immediately add vanilla and white chocolate.
Stir until chocolate melts completely. Set aside to cool.
Once custard is cool, pour into ice cream machine.
Freeze according to manufacturer's directions.
Line ¼ sheet pan with parchment.
Spoon ice cream into pan and spread until leveled (it should be about ½ inch thick).
Place spoonfuls of jam into ice cream.
Use the spoon to swirl jam through ice cream.
Freeze at least 6 hours, until hardened.