How Do I define a Double Brackets/Double Iterator Operator, Similar to Vector of Vectors'?

I'm porting code that uses a very large array of floats, which may trigger malloc failures from c to c++. I asked a question about whether I should use vectors or deques and Niki Yoshiuchi generously offered me this example of a safely wrapped type:

template<typename T>
class VectorDeque
{
private:
  enum TYPE { NONE, DEQUE, VECTOR };
  std::deque<T> m_d;
  std::vector<T> m_v;
  TYPE m_type;
  ...
public:
  void resize(size_t n)
  {
    switch(m_type)
    {
      case NONE:
      try
      {
        m_v.resize(n);
        m_type = VECTOR;
      }
      catch(std::bad_alloc &ba)
      {
        m_d.resize(n);
        m_type = DEQUE;
      }
      break;
    }
  }
};

I needed a 2D vector of vectors/deque of deques, so I modified it to the following code:

template<typename T>
class VectorDeque
{
private:
  enum STORAGE_CONTAINER { NONE, DEQUE, VECTOR };
  std::deque<std::deque<T> > x_d,y_d,z_d;
  std::vector<std::vector<T> > x_v,y_v,z_v;
  TYPE my_container;
public:
  void resize(size_t num_atoms, size_t num_frames)
  {
    switch(m_type)
    {
      case NONE:
      try
      {
        x_v.resize(num_atoms);
 for (unsigned int couter=0;couter < num_frames; counter++)
   x_v[counter].resize(num_frames);
        y_v.resize(num_atoms);
 for (unsigned int couter=0;couter < num_frames; counter++)
   y_v[counter].resize(num_frames);
        z_v.resize(num_atoms);
 for (unsigned int couter=0;couter < num_frames; counter++)
   z_v[counter].resize(num_frames);
        my_container = VECTOR;
      }
      catch(std::bad_alloc &e)
      {
        x_d.resize(num_atoms);
 for (unsigned int couter=0;couter < num_frames; counter++)
   x_d[counter].resize(num_frames);
        y_d.resize(num_atoms);
 for (unsigned int couter=0;couter < num_frames; counter++)
   y_d[counter].resize(num_frames);