There are more types of ferrite and iron dust used in inductor cores that you can shake a stick at!
At a quick guess, it would be safe to assume that the SMPS toroids would be unusable at 10.7Mhz.
Unidentified toroid core are just that, UROs! (Unidentified Round Objects).
Unless you have equipment to make measurements of inductance and Q (Loss Resistance), you are wasting your time.
How do I know? I have been there, torn my hair out when things that should work did not.
JimB