Problems with SCP stalling during file copy over VPN
Are you allowing ICMP through the VPN? "TCP connection stalls after a few seconds" often translates to "PMTU black hole".
Similar to @Gerald's response this page http://www.netheaven.com/pmtu.html gives a good explanation of MTU Discovery and the options when facing this issue.
Also a whitepaper by Cisco that discusses IP Fragmentation, MTU Discovery, and MSS all pertaining to IPSec VPN tunnels but is equally valid for similar situations. http://www.cisco.com/en/US/tech/tk827/tk369/technologies_white_paper09186a00800d6979.shtml
We had similar spurios problems with scp to some Linux servers (Debian, 2.6.24-etchnhalf).
We were able to do away with the stalls by disabling the TCP variable tcp_sack ("tcp selective acknowledgements") on the remote servers:
sysctl -w net.ipv4.tcp_sack=0
On Debian, tcp_sack is enabled by default. If I read http://www.frozentux.net/ipsysctl-tutorial/chunkyhtml/tcpvariables.html, it should make no sense to disable this option, but in our case, it helped.
You can make this change permanent by adding a line net.ipv4.tcp_sack=0
to /etc/sysctl.conf (on other Linux systems YMMV).
Are you running the latest version of whatever ssh servers and clients you're using? I'd also recommend hitting their email lists on this as it seems rather obscure.