As for Highland Games, see my reply to psnatch. You shouldn't have any trouble finding resources in your area as their are some fine comps there. Virginia is known for it. NC, NJ, and Eastern Penn have good reps as well.
MILO is a great starting point for both events.
Strongman is a weird thing to get involved in. It is very disorganized at all but the upper levels of the sport as many more people compete in powerlifting. However, their are some good events out there, you just have to look hard.
Also, do not equate HG and Strongman, they are nothing alike. Only the throwing events (tire, weight for height) are even close. The other strongman events are much more strength based.
Please note that unless you juice, your chances of winning a strongman comp at anything more than the local level are next to nothing. The highest I finished was third in a state comp. I was clean and tested as a USATF registered athlete at the time, but still squatted over 700 and cleaned over 400. I am 6'3" weighed 315 at the time.
I won two of the six events- tire toss and truck pull. The tire toss due to throwing tech and the truck pull due to mass and very good speed for a big man. The two guys who finished ahead of me were both around 5'9", one weighed about 240 and the other about 260. Neither carried more than 7-8% BF. THEY BEAT ME ON THE STRENGTH EVENTS! Figure that out.
Bill Kazmaier was the head judge and commented on mine being the only obviously natural physique in the show. I took that as a complement. Great guy by the way.
I digress. Just look around and see what you can find. I will be glad to take any PM's concerning Strongman or HG. Just remember, HG is much more of a community and the people are just generally easier to get along with.