Meanwhile I am still downloading the Bitcoin Core and it's only around 70% done after 2 days.
If you wait for Bitcoin to sync, you can just send your BTC from Armory
Is there another wallet, besides electrum that I can download that will except my armory keys and which does not require this multi-day full node download?
You could export the keys from Armory.
You have to be very careful and patient to do this, as mistakes could cause you to lose your money