This could be due to a problem with:
- The printer Driver
- The file
- The computer
- Snow Leopard
- FileMaker's preferences file
- This specific install of FileMaker.
If you can perform some more tests to narrow this down it may solve the problem and will also provide us with more information about this issue.
If you have a different printer available to you, try printing to it. Make such tests by selecting Print from the File menu to rule out issues with the any script that may attempt to print when you click a button to print.
Try creating a very simple file with a few fields and see if it crashes when you print. If it does not crash, try recovering your file and see if the recovered copy (even if it reports that no problems were found), prints OK.
Try a different computer if you can
Snow Leopard has been known to have issues with certain font files and suitcases from what I've read here--especially if the computer was upgraded from an Older OS version. That can be researched here and at Apple's support site.
Try deleting the preferences file for FileMaker and see if anything changes.
If all else fails, try uninstalling and re-installing Filemaker