.338 Fed is a good caliber for pig. I've been setting up a .358 Win rifle for pig and deer.
I would go with a simple BDC reticle with at least three lines below the crosshair. The Sightron HHR and Leupold B&C have too few lines. I don't like Sightron scopes for hunting anyway because the glare performance is below average.
I don't recommend a mag range above 12X for your game and range. Glare performance gets worse as the magnification range increases. I'm thinking 3-12X50 is about right.
The Burris E1 reticle is pretty good because it has windage. Not much in your price range. The Fullfield is lower and Black Diamond is higher. Both are good values. Burris has better than average optical performance and a soliid mechanical design.
Take look at the Hawke SR6 reticle. Hawke Sidewinder scopes have outstanding optical performance for their price range, and they handle recoil well. Also below your price range but getting closer.
There are other options for BDC reticles, but off the top of my head I can't think of one in your price range.