I can't find specific information about what happens to seasonal characters after the season regarding artisans. Will my artisan training be applied to my normal characters after the season ends? I only have a seasonal character right now, and I don't want to grind through training my blacksmith again.

You can still play them after the season ends but no clue if cross character stuff like crafter levels and paragon points stay.

http://us.battle.net/d3/en/blog/17152343/end-of-season-what-to-expect-12-30-2014#rollover

Artisan Progress and Recipes

If your Seasonal Artisans are a higher level than your non-Seasonal Artisans at the end of the Season, their level will transfer to your non-Seasonal Artisans.

Any recipes you have on your Seasonal Artisans that are not available to your non-Seasonal Artisans will be transferred as well.