I appreciate the help, but what I've got is not a networking problem. The miner is talking to the pools. It's just not mining.
How do I know it's talking to the pools? Because it's in the log files of both the miner and the firewall.
Network Protocol Source Destination Transfer
IPV4 UDP 192.168.254.111:137 192.168.254.255:137 7.47 MB (100453 Pkts.)
IPV4 UDP 192.168.254.111:17500 255.255.255.255:17500 3.55 MB (14105 Pkts.)
IPV4 UDP 192.168.254.11:17500 192.168.254.255:17500 1.08 MB (2107 Pkts.)
IPV4 UDP 192.168.254.11:17500 255.255.255.255:17500 1.08 MB (2107 Pkts.)
IPV4 UDP 192.168.254.111:17500 192.168.254.255:17500 727.29 KB (2821 Pkts.)
IPV4 TCP 192.168.254.11:62414 192.168.254.200:80 80.51 KB (740 Pkts.)
IPV4 TCP 192.168.254.200:60477 ec2-54-195-36-180.eu-west-1.compute.amazonaws.com:8332 3.87 KB (13 Pkts.)
IPV4 TCP 192.168.254.200:40196 stratum.btcguild.com:3333 2.24 KB (16 Pkts.)
IPV4 TCP 192.168.254.200:40198 stratum.btcguild.com:3333 2.24 KB (16 Pkts.)
IPV4 TCP 192.168.254.200:40200 stratum.btcguild.com:3333 1.19 KB (12 Pkts.)
IPV4 TCP 192.168.254.200:40201 stratum.btcguild.com:3333 1018.00 B (10 Pkts.)
IPV4 TCP 192.168.254.200:60666 ec2-54-225-68-97.compute-1.amazonaws.com:3333 1018.00 B (10 Pkts.)
IPV4 TCP 192.168.254.200:40202 stratum.btcguild.com:3333 1018.00 B (10 Pkts.)
IPV4 UDP 192.168.254.200:17016 google-public-dns-a.google.com:53 74.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:47324 google-public-dns-a.google.com:53 73.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:51647 google-public-dns-a.google.com:53 72.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:40278 google-public-dns-a.google.com:53 71.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:41035 google-public-dns-a.google.com:53 66.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:60944 google-public-dns-a.google.com:53 66.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:39171 google-public-dns-a.google.com:53 64.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:26529 google-public-dns-b.google.com:53 60.00 B (1 Pkts.)
IPV4 UDP 192.168.254.200:26529 google-public-dns-a.google.com:53 60.00 B (1 Pkts.)
THe problem is the miner won't start.