Cannot solve SSL in IIS 6 with host headers

I'm running W2K3 R2 SP2 with IIS 6 (on a virtual private server).

I have a self-signed certificate. It is installed.

I have multiple web sites set up and running correctly. Only one site
(called mydomain.com here) requires SSL at this time. I can access
mydomain.com via HTTP but not via HTTPS. I get a timeout with no error
message and nothing appears in the IIS log for the failed HTTPS access
attempts.

I have run the following script:

cscript.exe adsutil.vbs set /w3svc/123586192/SecureBindings
":443:mydomain.com"

Here is the output from SSLDiag.exe:

System time: Fri, 18 Jul 2008 16:00:15 GMT
ModuleFileName: C:\Program Files\IIS Resources\SSLDiag\SSLDiag.exe version:
1.1:34.0
CommandLine: "C:\Program Files\IIS Resources\SSLDiag\SSLDiag.exe"
ProcessorArchitecture: x86
OS: Windows 2003 Service Pack 2
IIS6 - World Wide Web Publishing (W3SVC) service is installed

[ HKLM\System\CurrentControlSet\Services\HTTPFilter ]
ImagePath = C:\WINDOWS\system32\lsass.exe
Parameters\CertChainCacheOnlyUrlRetrieval = True(default)
EnableKernelSsl = False(default)
strmfilt.dll loaded into process 428 (lsass.exe)
strmfilt.dll loaded into process 2568 (w3wp.exe)
strmfilt.dll loaded into process 2748 (w3wp.exe)
strmfilt.dll loaded into process 2832 (w3wp.exe)

[ SChannel Info ]
ServerCacheEntries = 3
ServerActiveEntries = 0
ServerHandshakes = 3
ServerReconnects = 43
CacheSize = 10000

[ W3SVC/1 ]
ServerComment = Default Web Site
ServerAutoStart = False

[ W3SVC/1361xxxx56 ]
ServerComment = domain1.com
ServerAutoStart = True
ServerState = Server started

[ W3SVC/151xxxx760 ]
ServerComment = Client1Static
ServerAutoStart = False
#WARNING:ServerState = Server stopped

[ W3SVC/176xxxx090 ]
ServerComment = domain2 CS
ServerAutoStart = False

[ W3SVC/180xxxx3 ]
ServerComment = www.domain3.net
ServerAutoStart = True
ServerState = Server started

[ W3SVC/2050796052 ]
ServerComment = Client1CS
ServerAutoStart = True
ServerState = Server started

[ W3SVC/52xxxx083 ]
ServerComment = domain2 CS2008
ServerAutoStart = True
ServerState = Server started

[ W3SVC/77xxxx319 ]
ServerComment = www.domain4.com
ServerAutoStart = True
ServerState = Server started

[ W3SVC/123586192 ]
ServerComment = mydomain.com
ServerAutoStart = True
ServerState = Server started
AccessSSLFlags = 8
#Impersonated server account
SSLCertHash = be cd xx xx xx xx .... xx xx xx
SSLStoreName = MY
#CertName = *.mydomain.com
#You have a private key that corresponds to this certificate
#ContainerName='xxxxxxx...xxxx'
#ProvName='Microsoft RSA SChannel Cryptographic Provider'
ProvType=PROV_RSA_SCHANNEL KeySpec=AT_KEYEXCHANGE
#Subject: CN=*.mydomain.com
#Issuer: CN=*.mydomain.com
#Validity: From 1/1/2000 To 1/1/2050
CertVerifyCertificateChainPolicy succeeded
SecureBindings = ip.ip.ip.ip:443:

[ W3SVC/123586192/root ]
AccessSSLFlags = 264 (0x108)
AccessSSL = True
AccessSSL128 = True
AccessSSLNegotiateCert = False
AccessSSLRequireCert = False
AccessSSLMapCert = False

Diagnostics complete, system time: Fri, 18 Jul 2008 16:00:23 GMT
.