There is no such thing as an "open" UDP port, at least not in the sense most people are used to think (which is answering something like "OK, I've accepted your connection"). UDP is session-less, so "a port" (read: the UDP protocol in the operating system IP stack) will never respond "success" on its own.
UDP ports only have two states: listening or not. That usually translates to "having a socket open on it by a process" or "not having any socket open". The latter case should be easy to detect since the system should respond with an ICMP Destination Unreachable packet with code=3 (Port unreachable). Unfortunately many firewalls could drop those packets so if you don't get anything back you don't know for sure if the port is in this state or not.
And let's not forget that ICMP is session-less too and doesn't do retransmissions: the Port Unreachable packet could very well be lost somewhere on the net.
A UDP port in the "listening" state may not respond at all (the process listening on it just receives the packet and doesn't transmit anything) or it could send something back (if the process does act upon reception and if it acts by responding via UDP to the original sender IP:port). So again, you never know for sure what's the state if you don't get anything back.
You say you can have control of the receiving host: that makes you able to construct your own protocol to check UDP port reachability: just put a process on the receiving host that'll listen on the given UDP port and respond back (or send you an email, or just freak out and
unlink() everything on the host file system... anything that'll trigger your attention will do).