If you have DC try 6010 from Lincoln 5P+ or Esab 10P+(?) like Shield arc likes. With open root for stick you generally use the same land as the gap thickness, I/E: 1/8" land, 1/8" gap. 3/32" land, 3/32" gap. With 6010/6011 there's more than one technique you can use. Some welders use a closer gap, turn the heat up and basically jam the rod in the bevel at let it burn. I like to use a slightly bigger gap and slowly whip the rod back and forth keeping the keyhole going. You can hear when it's going in nice. To get your heat close, take the rod on a piece of scrap and try to snuff the arc out pushing it into the plate. Just enough your pushing the rod into the plate. When you can push the rod into the plate and it keeps burning by itself, you are close. Using the first technique I mentioned with a tighter gap, some guys actually bend the rod from pushing so hard.
On 3/8" plate, even 1/4" open root from one side, it would be very hard to do in just one pass. You do have to push the rod into the gap and the root pass is usually pretty narrow. Worry more about getting proper penetration than if you have a little undercut. For general type projects where you just want good penetration, a wire brush in a grinder will clean the slag but for anything else, a thin grinding wheel is used to clean the root pass, starts/stops and you can also clean it up so you can fill in any undercut with the hot pass and/or cap pass. It's called the hot pass because it is run quite hot to fill in any undercut and can also push your root in a little more if needed. Some welders go fast and put a light root pass in. I like to go a little slower and put a heavier root in so there's less chance of burning through with the hot pass.