3000 RPM is no problem. Back in the day 3 gears is all we had and we were often spinning 3000 RPM on the interstate. But, very few people had tachometers and didn't know that they were spinning the engine that fast.
I had a 302 in a Ford as a boy that I had put in bigger cam, ported the heads, added a 4 barrel carburetor, and duel exhaust on. When taking off in a hurry I would shift it manually at 5500 RPM. I had to. I did not change the valve springs and the valves would float after 5500 and it would not spin any faster. Beat on the car for years with no problems.