So this was relatively easy for the most part, for anyone else who runs into this (the first part of the issue, that is).
Open Armory > Wallet Settings > Back up wallet > Export keys > You only need your PrivBase58 keys.
They'll look something like:
PrivBase58: 2323hdlkajhdhasdhad879as678dasdhjgdasdasd
PrivBase58: 123123hdlkajhdhs4sdhad879s67dasdhjgdasdsd
PrivBase58: 4234hdlkajhdhasdhad879as678dasdhjgdasdasd
Open up electrum > wallet > private keys > sweep
Enter the PrivBase58 keys, all of them, without the prefix or any of that junk, e.g.:
2323hdlkajhdhasdhad879as678dasdhjgdasdasd
123123hdlkajhdhs4sdhad879s67dasdhjgdasdsd
4234hdlkajhdhasdhad879as678dasdhjgdasdasd
Hit sweep. Broadcast, and save the transaction signature just in case (not sure what it may be used for as I haven't given it a closer look). Then wait.