Please take a look at OfA URC8810 (Smart Zapper). This is a compact 8-button remote so probably you will like it.

There probably is a way to make an OfA's 5-digit code from a NEC1 code since OfA is capable of emitting both NEC1 and NEC2 codes. This will probably require on-remote database update via hidden USB or via Bluetooth.

Considering your case I would suggest to call a technician and spend an extra €200 to do a setup.

Though the simplest way is to rent a remote somewhere and learn the needed function to OfA. Trying to set up without having an original remote is a pain. Those 4-digit codes, 5-digit codes and other stuff is for tech geeks.