[Eikel]

Without freezing the frames my concern would be shb eggs and larvae.

You mentioned you have "a hive that swarmed," any others that could protect the frames?

 

[Eikel]

So then would it be a good idea to put my extracted frames in the freezer before putting them back in the hives? To kill any potential eggs?

Freezing isn't necessary if you extract and put the "sticky" frames right back on the hives; leaving the frames sit around for a couple days is a recipe for slime.