Yes. The C-Span site puts these up later in the day. I think the WH site also puts them up.
The White House always puts up the transcripts of the press briefings and the press gaggles (usually before 6pm Eastern), and keeps them archived there for quite a while (perhaps until the end of a particular administration). Once the administration changes, it is archived elsewhere.
By the way, as one who is CBC (cubicle bound and challenged), I love the idea of a daily Tony Snow press briefing thread! It's the only reason to watch a pack of sullen, snarling, self-congratulatory sycophants for any length of time...to watch someone who will hand them their lunch, then take it from them, and all with a smile and a stern voice.
Keeep up the great work, and Peach, you do a wonderful job!
P.S. Who is in charge of the TSWHPB ping list? I'd like to be added to it.