So looks like no one ever responded to you. Thus can't hurt for me to I suppose. Looks like a Sestertius from your description and the mis-shapen coin suggests a later one as they were much better at circles in the older days of the empire. So you really just have to try to open all the wildwinds pages for the later emperors and on the computer use control find in page to search for sestertius. Sure it is a lot of work and you will be matching shapes of the emperors head and the figure reaching back apparently. You do see an SC. Now decay can make a head look nothing like it originally did but if you assume this was a clean shaven emperor looking up from that period you might get lucky and it can be a rare one perhaps. Otherwise it will be worth about $5 in that condition, and that is because it is a sestertius and they are looked for. But if you can make a case for a rare emperor, find a few traces of a letter here and there you might have some fun! Like the coin below is probably not at all your coin, (I don't at all say it is folks...) but boy if it was you have a story!
https://www.acsearch.info/search.html?id=134530