Increase stack size of main program or create a ne

I've a following up question to What is the stack size of a BackgroundWorker DoWork Thread? Is there way to change it?

Should I increase the stack size of my main program using the following post build event:

"$(DevEnvDir)..\..\VC\bin\editbin.exe" /STACK:8388608 "$(TargetPath)"

or should I capsule my recursive code block inside a new thread with a larger stack size?

Thread thread = new Thread(delegate()
{
    // do work with larger stack size
}, 8192 * 1024);
thread.Start();
thread.Join();

The code which has a lot of recursion is from Intel MKLs the LAPACKE_dtrtri function which I call over DLLImport. So I cannot change this code. I can just change the stack size to avoid a stack overflow error.

What is the draw back of assign a larger stack size to my main program?
What is the draw back of creating a new thread with a larger stack size for this calculation?
Which solution is the better one?
What would be a reasonable stack size? 8 MB, 16 MB, 32 MB or 64 MB (like MATLAB)? The program runs on computers which have at least 16 GB of RAM (up to 256 GB).

Note: for 99% of my application the default stack size of 4 MB (64-bit) would be enough but the other 1% is using external code which is heavily recursive.

Which solution is the better one?

Which solution is the better one?

The approach using editbin in a post-build event is failing when using strong name key to sign the assembly. After the assembly was changed using editbin the verification of the signed assembly will fail. sn.exe -v assembly.exe will return Failed to verify assembly -- Strong name validation failed ...

See as well:

Is an assembly signed with a strong name before or after the post-build event?

So I'm using the second approach but for the hole program and not only for the recursive code blocks:

static class Program
{
    [STAThread]
    static void Main(string[] args)
    {
        Thread thread = new Thread(delegate()
        {
            Main2(args);
        }, 16 * 1024 * 1024);
        thread.SetApartmentState(ApartmentState.STA);
        thread.Start();
        thread.Join();
    }

    static void Main2(string[] args)
    {
        Application.EnableVisualStyles();
        Application.SetCompatibleTextRenderingDefault(false);
        Application.Run(app);
    }
}