Thanks to all who responded:
        Jeffrey Marans <jeff@erie.irc.nrc.ca>
        stern@sunne.East.Sun.COM (Hal Stern - NE Area Systems Engineer)
        feldt@phyast.nhn.uoknor.edu (Andy Feldt)
        poffen@sj.ate.slb.com  (Russ Poffenberger)
        Mike Raffety <miker@sbcoc.com>
        danny@ews7.dseg.ti.com
        reuss@Stars.Reston.Unisys.COM
I didn't get to try any of the suggestions because I ran out of time,
so I'll just summarize the reponses.  I will definitely need this
information in the future though, so everything was very helpful.
jeff@erie.irc.nrc.ca suggested mucking about with the in.statd
directory and file structures ("man sm" for more info on this one).
stern@sunne.East.Sun.COM suggested "umount -f".
miker@sbcoc.com and feldt@phyast.nhn.uoknor.edu state that there is no
choice other than to kill any user processes blocking the mount.
poffen@sj.ate.slb.com suggests trying "mount -o remount", given some
constraints as outlined in the man page.  danny@ews7.dseg.ti.com
thinks that this should work even with blocking user processes.
reuss@Stars.Reston.Unisys.COM suggests a "umount" followed by a "mount
-a"; I know this won't work in my situation, since I've already tried
it.  The umount will skip over busy/blocked mounts and let them stay
open.
 ____ 
  /ony Yen - tyen@mundo.eco.utexas.edu ... Sail tough
SPARC SysAdmin - UT/Austin - Economics            or go home ... Kowabunga! ...
tyen@mundo.eco.utexas.edu (Anthony Yen) writes:
> If I have a "Device busy" message on a filesystem I wish to re-mount
> over NFS, how would I re-mount it short of killing the user processes
> that are blocking the umount?  I'll summarize back to the list as
> usual.
>  ____ 
>   /ony Yen - tyen@mundo.eco.utexas.edu ... Sail tough
> SPARC SysAdmin - UT/Austin - Economics            or go home ... Kowabunga! ...
}-- End of excerpt from Anthony Yen
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