Code movement only, to look more like the equivalent http2 code, and
to make an upcoming fix look more obvious.

Updates #16002 (to be fixed once this code is in)

Change-Id: Iaa4f965be14e98f9996e7c4624afe6e19bed1a80
Reviewed-on: https://go-review.googlesource.com/30087
Run-TryBot: Brad Fitzpatrick <bradfitz@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Ian Lance Taylor <iant@golang.org>
Reviewed-by: Joe Tsai <thebrokentoaster@gmail.com>