Consider this trigger:
ALTER TRIGGER myTrigger
ON someTable
AFTER INSERT
AS BEGIN
DELETE FROM someTable
WHERE ISNUMERIC(someField) = 1
END
Here's my modified version of Bill's code:
CREATE TRIGGER mytrigger ON sometable
INSTEAD OF INSERT
AS BEGIN
INSERT INTO sometable SELECT * FROM inserted WHERE ISNUMERIC(somefield) = 1 FROM inserted;
INSERT INTO sometableRejects SELECT * FROM inserted WHERE ISNUMERIC(somefield) = 0 FROM inserted;
END
This lets the insert always succeed, and any bogus records get thrown into your sometableRejects where you can handle them later. It's important to make your rejects table use nvarchar fields for everything - not ints, tinyints, etc - because if they're getting rejected, it's because the data isn't what you expected it to be.
This also solves the multiple-record insert problem, which will cause Bill's trigger to fail. If you insert ten records simultaneously (like if you do a select-insert-into) and just one of them is bogus, Bill's trigger would have flagged all of them as bad. This handles any number of good and bad records.
I used this trick on a data warehousing project where the inserting application had no idea whether the business logic was any good, and we did the business logic in triggers instead. Truly nasty for performance, but if you can't let the insert fail, it does work.