The mirroring will take a lot of time (probably more than a 
day) for mirroring up to depth 4 (this is the depth for 3 
links away).
You may copy and paste the following to a text file and 
save it as nytimes.opt to load with WinHTT. You may correct 
some values for best results(i am not an expert), but 
basicallly these options will do:

Near=1
Test=0
ParseAll=1
HTMLFirst=1
Cache=1
NoRecatch=0
Dos=0
Index=1
WordIndex=0
Log=1
RemoveTimeout=0
RemoveRateout=0
KeepAlive=1
FollowRobotsTxt=0
NoErrorPages=1
NoExternalPages=1
NoPwdInPages=0
NoQueryStrings=0
NoPurgeOldFiles=1
Cookies=1
CheckType=1
ParseJava=1
HTTP10=0
TolerantRequests=0
UpdateHack=1
StoreAllInCache=0
LogType=0
UseHTTPProxyForFTP=0
Build=0
PrimaryScan=3
Travel=1
GlobalTravel=0
RewriteLinks=0
BuildString=%%h%%p/%%n%%q.%%t
MaxHtml=
MaxOther=
MaxAll=
MaxWait=
Sockets=8
Retry=2
MaxTime=
TimeOut=6
RateOut=
UserID=Mozilla/4.5 (compatible; HTTrack 3.0x; Windows 98)
Footer=<!-- Mirrored from %%s%%s by HTTrack Website 
Copier/3.x [XR&CO'2003], %%s -->
MaxRate=
WildCardFilters=-*%0d%0a+*nytimes.com*
Proxy=
Port=
Depth=4
ExtDepth=0
MaxConn=
MaxLinks=
MIMEDefsExt1=php3,php,php2,asp,jsp,pl,cfm
MIMEDefsExt2=
MIMEDefsExt3=
MIMEDefsExt4=
MIMEDefsExt5=
MIMEDefsExt6=
MIMEDefsExt7=
MIMEDefsExt8=
MIMEDefsMime1=text/html
MIMEDefsMime2=
MIMEDefsMime3=
MIMEDefsMime4=
MIMEDefsMime5=
MIMEDefsMime6=
MIMEDefsMime7=
MIMEDefsMime8=
CurrentUrl=http://www.nytimes.com%0d%0a
CurrentAction=0
CurrentURLList=