Nope that is not going to work out; I just made a quick test, but I only got the first result set.
While this can be done with BCP, it becomes quite a kludge, particularly if you cannot change the procedure that produces the data. Maybe it's time to go the SSIS route? (He said, he who does not know SSIS himself, oh well.)
Erland Sommarskog, SQL Server MVP, esquel@sommarskog.se