Since user credentials cannot run "show configuration" command, I would try to get all possible information/outputs.
Do you know if that switch is performing L2 only or L3?
I would check some outputs as follows (not sure if you can see all with user account):
show switch
show management
show dns-client
show mirroring
show ports redundant
show ports sharing
show vlan
show vlan detail
show vlan security
show stpd
show stpd
show stpd detail
show ports configuration
show ports information
show eaps
show eaps detail
show fdb
show iproute
show qosprofile
show rate-limit
show log configuration
show access-list
show access-mask
show access-profile
show netlogin
show radius
show tacacs
show ipconfig
show upd-profile
Basically those commands can help with L2 and static routes configuration info.
For any other protocol such as OSPF and VRRP you can download the Extremeware-e Command Reference Guide using the link below and check all "show" commands available:
http://extrcdn.extremenetworks.com/wp-content/uploads/2014/02/ExtremeWareCommandRef73e.pdf