It is possible to change the location of the Softtoken. Per default it is <Installdir>\CredentialStore or for the KeyCards it is <Installdir>\SerialStore.
You can change that location in the registry in HKLM\SOFTWARE\<Wow6432Node>\Aloaha\CSP\CredentialStore and HKLM\SOFTWARE\<Wow6432Node>\Aloaha\CSP\ SerialStore and point it to a network share. But please keep in mind that the logon process is running under local system credentials and thus the share needs to give local system the required permissions.
Better it is to copy network based SoftToken from a share to the local folder.
For the CredentialStore please configure the share in: HKLM\SOFTWARE\<Wow6432Node>\Aloaha\CSP\ForcedCredentialStore and for the KeyCards: HKLM\SOFTWARE\<Wow6432Node>\Aloaha\CSP\SerialStoreMaster