Key word in the original post are Heads Up.
You know he is impatient, and you have 2 choices. He has eliminated sanity as a normal 3rd choice. Leaving your choices as passive in a vain attempt to try to control a maniac, or aggressive.
You have to play almost any connectors HU aggressively. And certainly any Ace. You are up against a villain who is willing to gamble and in a setting where you can't leave the table. If you are first to act you either fold or raise, and in HU you have to bluff the raise more often than not. It may be a stand-off for a long time with you raising him folding and visa
versa. Once this has gone on a while with a better hand you might try to lower your 'first to act' raise to something more reasonable.
Since you don't know your villain, he may have to pee, or his wife is bugging him to get ready for the family arriving, or he might be bored or he's already ITM and figures to get on to the next game already. So control may be totally out of the question here.
Get a note on him via the site notes, and depending on your mood you may want to find him again some day so also add a note to your tracking system, be it PT, or P&P.