Based on getting the paper tray PaperSource from something like here on MSDN, if you don't mind using Ghostscript.NET, this should work for you:
public void PrintPdf(string filePath, string printQueueName, PaperSource paperTray)
{
using (ManualResetEvent done = new ManualResetEvent(false))
using (PrintDocument document = new PrintDocument())
{
document.DocumentName = "My PDF";
document.PrinterSettings.PrinterName = printQueueName;
document.DefaultPageSettings.PaperSize = new PaperSize("Letter", 850, 1100);
document.DefaultPageSettings.PaperSource = paperTray;
document.OriginAtMargins = false;
using (var rasterizer = new GhostscriptRasterizer())
{
var lastInstalledVersion =
GhostscriptVersionInfo.GetLastInstalledVersion(
GhostscriptLicense.GPL | GhostscriptLicense.AFPL,
GhostscriptLicense.GPL);
rasterizer.Open(filePath, lastInstalledVersion, false);
int xDpi = 96, yDpi = 96, pageNumber = 0;
document.PrintPage += (o, p) =>
{
pageNumber++;
p.Graphics.DrawImageUnscaledAndClipped(
rasterizer.GetPage(xDpi, yDpi, pageNumber),
new Rectangle(0, 0, 850, 1100));
p.HasMorePages = pageNumber < rasterizer.PageCount;
};
document.EndPrint += (o, p) =>
{
done.Set();
};
document.Print();
done.WaitOne();
}
}
}