With 1000 dollars each, it seems that bribing with bitcoin would be a good idea. One USB stick will do the job with no third party required.
Bribing is illegal to do mate, i dont think it is a good idea to ever get into bribing officials and all that. Law enforcement will eventually catch up with what you are doing and youll go to jail for what youve done.
The problem with bitcoin is that all transactions are public, if you were bribing someone you should probably do so with cash instead.
If you are just wanting to use cryptocurrencies, then use Monero or Dash for private transactions
Using bitcoins to bribe is not only illegal but unwise, lol.
There are many weird services that are accepting bitcoins out there.
So I don't think there will be any issue to use bitcoin as bribing

Lol, the problem isn't how to spend it. It's that bribing is illegal and using bitcoin doesn't really help avoid that.