There's a tendency on this site especially to go all-out big & powerful on saws. Yeah, it's cool to pick up some monster piece of power and see it work. But as someone who works with saws day to day, I carry the lightest saw I can for the work I'm doing. No need to hoist and carry some monster saw when cutting medium wood. If you cut big wood only occasionally, you can get by with much less saw than someone who cuts big wood all the time.
From what you're describing, a 72cc saw will serve you well. (My Dolmar 7900, 79 ccs, the biggest saw I own, mainly sits on the floor waiting for the rare occasion when I need it.)