Recording radio shows

[TwoDals@aol.com]

I was interested to read the responses to the Tune-In Radio app  thread.  I 
got the app last summer and was able to record my favorite  overnight radio 
show, The Steve Leveille Broadcast.  That lasted for about  two weeks, then 
CBS pulled the plug on the app.  
My question is this:  How can I record Steve's show on either my  iphone or 
ipad?  I've checked out a couple of the apps mentioned.   Will ootunes 
record it?  I really can't stay up all night to listen and I  really enjoy his 
show.  Darn sleep!
Thanks in advance!