Here is a possible java level solution. It will require you to know all of the cipher suites that you wish to use:-
In the .vmoptions file for your VSE, add the following property
-Dhttps.cipherSuites=SSL_RSA_WITH_DES_CBC_SHA,\
TLS_RSA_WITH_AES_128_CBC_SHA,\
TLS_DHE_RSA_WITH_AES_128_CBC_SHA,\
TLS_DHE_DSS_WITH_AES_128_CBC_SHA,\
SSL_RSA_WITH_3DES_EDE_CBC_SHA,\
SSL_DHE_RSA_WITH_3DES_EDE_CBC_SHA,\
SSL_DHE_DSS_WITH_3DES_EDE_CBC_SHA,\
SSL_RSA_WITH_RC4_128_MD5,\
SSL_RSA_WITH_RC4_128_SHA,\
SSL_RSA_WITH_NULL_SHA,\
SSL_RSA_WITH_NULL_MD5
You will need to modify the entries before the final two to suit your environment. If you wish you could add these all on one line. As things are, the \ characters should be the last character on the line - there must be no spaces following the \
Hopefully this will allow you to continue.
Dave.