Troubleshooter,
I have hunted with Horia twice and though I have used his rifles, he has explained the process for bringing rifles to and from Romania.
Romania in general is very hunter friendly, and I would not hesitate to have Horia handle all the paperwork for you.
One of the gun laws in Romania is to store weapons in a safe so I would also feel confident leaving firearms while you traveled.
Feel free to PM with any additional questions.