The transaction doesn't exist on any of those blockexplorers.
During broadcasting it I didn't have internet access, so I doubt it's on any other node.
In that situation what else I can do to fix that?
The bolded part might your issue as I think that the armory doesn't work without the internet it needs to be sync and bitcoin core must be fully synced to make the armory work.
But you can still get the raw transaction and broadcast/push them manually to any of these below.
-
https://coinb.in/#broadcast-
https://blockchain.com/btc/pushtx-
https://blockchair.com/broadcast