There is a pretty easy way to get shiny ingots.
1. Get a silk touch pick. (Easy with Tinkers Construct).
2. Go mine ALL THE REDSTONE. Seriously, get like 10 stacks of redstone ore. And while you're at it, grab all the Ferrous Ore you see.
3. Run the redstone ore through a pulverizer. The secondary item from that is Cinnabar.
4. Place both the cinnabar and any Ferrous Ore you've collected into an Induction Smelter. Smelting those together gives you a 100% chance of receiving the secondary item. In this case, shiny ingots. I'm sitting on a stack of shiny from doing this. It just takes some gathering time.