The op has a Honda j series engine. These engines or more or less indestructible. While the vtech system has gotten more sophisticated over the years and the compression ratio has gone up the Honda j engines are structurally more or less the same as when they came out so I think my example may help you a bit. My lowly j30 in my 1999 Accord had 180000ish miles on it when I got it. And had been dealer serviced with conv. 5w30 ( not sure what brand) up until then. When I got it I switched it to synthetic and have experimented with a lot of different oils since then. For reference I drive the [censored] out of this car. I enjoy it and my engine sees redline almost every time I drive it. So far, I've ran amsoil 0w20, Mobil one high mileage 5w30, Mobil one ep5w20, rotella t6 5w40, castors edge 5w30, Mobil one afe 0w20, and right now I have royal purple 5w30 in there with a can of lubro moly mos2. Out of all these oils I'd say they engine seemed to like the rotella t6 the most with the castrol edge a close second. My engine feels rougher in high rpm with the 0w20 oils and is a bit louder. When I got the car oil burning was not an issue and now at 232000 miles it still is more or less a nonissue(quart every 7500ish) slight pan oil leak but other than that the engine is in perfect running shape.
In short, if it were me I'd pick any good 0w30 or 5w30 synthetic and call it a day.
