top of the trunion, not easy to really inspect, but I hear that's where the nose gear failure begins. Hairline cracks, but I doubt they show on a visual. Perhaps dye penetrant, but the nature of it would require removal for inspection. Trust thy mechanic, and dont let anybody land nosewheel first.
The angle of the nose strut I hear is what causes the stress. Late model P's and beyond have a strait down nose strut, others angle forward.
Never flew the carburated models. understand the F and earlier (58?) were actually even more slippery than the 68 N model we had. Flying by "the numbers" did wonders for me, and students. If memory serves, 17", flaps 20, 120 kias on ILS (15" in the F or C model). Landing Assured, full flap. slows to a nice approach of around 100 crossing threshold. Granted a bit different from the "stabilized approach", but very stable. Not too different than a common gulfstream "quiet flying" of landing flaps below 400agl.
I loved the 310, and if I think of anything, I'll pass it along. Spose emphasizing the difference between an alternator vs. generator could be important. If flying IFR, waiting for release, Idle power really drains the battery.
I tended to not use the landing lights except at night (about 75fpm on a drag demo), and never used them for takeoff. My logic is they were placarded "landing lights", and in an engine out, I'd forget to retract. At 150fpm climb, suddenly those lights could cut you down to 75fpm. So much for "Operation Lights On". A model lights are much bigger than N, so probably even more drag.
While rambling, I finally remembered the BIGGEST achiles heel, and ultimate demise of our C310. Most gear switches are 3 postion! Down, Neutral, and Up. Why cessna did this, I dont know. There were no procedures calling for the middle position. Perhaps because it is electic? Turn off the moter if a microswitch fails? Well, ours had a club member do a gear up touch and go. He touched the switch, but must not have checked the lights. The middle position. Club 310K geared up in Reno. Kudos to the unlikey pilot for at least being honest and saying "I f-d up, landed with it in the middle position." At least others can learn from his mishap.
Easy on the brakes. Probably goes along with what Dan said about eating up runway. We'd get 150 hours max on tires in the airplane we had in a flying club/training. My buddy with an F model and same tires would get 300+ hours. Flat spots on ours.
One of my favorite oral questions: Crossfeeding fuel-- running left engine and right engine off the right tank. Why will left tank quantity increase eventually? Dont know if the carb models do this as much, but the IO-470 mechanical fuel pump takes more fuel than it needs. Regardless of the fuel valve positon, the excess fuel returns to the engine side, main tank. So I suppose "technically" you can transfer fuel! Not much. That's why on the aircraft with aux tanks, you'd better burn 8 gallons or so from the mains first. Otherwise, you are p*ssing fuel out the vent. You wont see it, but she's going to take more fuel than you thought at the pump.
The twin cessna flyer, or some club/newsletter like that always had great info.
Happy flying. I'm getting a tear in my eye already and missing my old 310. That ok, I've got my eye on a 185, and I'll be posting a request like yours if I get get my hands on one!