You could set the SplitContainer's SplitterDistance to the control's width (assuming you have a vertical split container, use the height if you have a horizontal split container) in the constructor after InitializeComponent();
Then you can attach to the SplitterMoved event and make sure the SplitterDistance is larger than the Controls width.
For example:
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Text;
using System.Windows.Forms;
namespace SplitterDistanceTest
{
   public partial class Form1 : Form
   {
      public Form1()
      {
         InitializeComponent();
         splitContainer1.SplitterDistance = groupBox1.Width;
         splitContainer1.SplitterMoved += new SplitterEventHandler(splitContainer1_SplitterMoved);
      }
      void splitContainer1_SplitterMoved(object sender, SplitterEventArgs e)
      {
         ResizeSplitterDistance();
      }
      private const int MAXIMUM_SIZE = 200;
      private void ResizeSplitterDistance()
      {    
         if (splitContainer1.SplitterDistance < groupBox1.Width)
         {
            splitContainer1.SplitterDistance = groupBox1.Width;
         }
         if (splitContainer1.SplitterDistance > MAXIMUM_SIZE)
         {
            splitContainer1.SplitterDistance = MAXIMUM_SIZE;
         }
         // You could also do max/min percentages.  Ive shown this below
         // but commented out
         /*int minimum_percent = 30;
         int minimum_size = (int)((minimum_percent / 100m) * (decimal)splitContainer1.Width);
         int maximum_percent = 50;
         int maximum_size = (int)((maximum_percent / 100m) * (decimal)splitContainer1.Width);
         if (splitContainer1.SplitterDistance < minimum_size)
         {
            splitContainer1.SplitterDistance = minimum_size;
         }
         if (splitContainer1.SplitterDistance > maximum_size)
         {
            splitContainer1.SplitterDistance = maximum_size;
         }*/
      }
   }
}