Flash won't let you open connections to other hosts (unless there's a crossdomain.xml file that allows it).
With html/javascript you can send http requests to other hosts, but you can't read the response. It seems like the backdoor isn't accessed over http, so that wouldn't help you either.
iPhone 5 - 7.0.6 - Safari: 144036 ms
Motorola Moto G - 4.4.2 XT1032 - Chrome 33: 157173 ms
Nexus 4 - 4.4.2 - Chrome 34: 169032 ms
Nexus 4 - 4.4.2 - Opera 20: 163980 ms
Nexus 3 - 4.3 - Chrome 33: 175682 ms
Nexus 4 - 4.4.2 - Firefox 28: 262957 ms
Nexus 4 - 4.4.2 - Opera Classic 12.1: I gave up :)