I went with the tire pressure indicated on the frame, 33/36. Sounds like that’s too low for the load. Let me check the pre-load on the shocks.
Don't know how heavy you and your pillion passenger are, but me and my passenger's combined weight is around 430lbs, fully geared.
Add 20lbs for take-alongs: A spares kit (in addition to the stock toolkit), Stop-n-Go inflator, gloves and cool-weather gear as needed, her purse and whatnot.
For that load and with Avon Cobras, I run 40/42. This is on a Tourer with a lot of I/S components added (including trunk and shocks). Shock preload is currently set to "4" but if I was doing exclusive 2-up riding for very long distances with the given load I'd set it to "5".
I run Hyperpro springs in the forks; 10wt fork oil. Set up as described, the bike definitely goes where I point it. No handling quirks whatsoever.