You might wan to check the arbor from your junk face mill. There is a small chance it will fit standard shell mills or face mills. I had a face mill similar to yours. The arbor turned out to be unsuitable for face mills. I scraped the whole thing.
Be careful ordering Chicom face mills. Some have aluminum bodies. Not great for durability.
My face mill is from Shars. It ha a steel body and integral R8 shank. It produces a beautiful finish. It is also capable of really hogging off material, even in steel. I have inserts for steel as well as aluminum.