I don't think cstatus is going to work for me. I have many servers where PING is not enabled and have to use the telnet command to see if the port is open.
nmap is great at what it does, but Windows quite often flags it as malware. Or at least a piece of software the user needs protection from (according to Microsoft). When you get it from the creator's website, it is a false positive.
On a general note: in your network you have telnet enabled, yet ICMP (ping) disabled? Telnet is kinda infamous for being unsafe, in (much) more ways than the ICMP protocol is.