I'd strongly advise entering 2 marathons a good 5/6 months apart, and give it yer all in both. Even if you're working off a good base, you need to devote 3 months to marathon training (and warm-up races), then it's a good month after the race before you even want to think about running another race. Then if you know you've got that time to recover before hand, you can devote more effort to the marathon training.
People who run multi-marathons, or on consecutive days, etc. are looking for a different challenge, more like the ultra-marathon mind-set where it's more about the mental aspect of endurance than pure athletic ability.
You say you can imagine running marathons way into the future. Another advantage of doing Spring/Autumn marathons is that you get to train in different seasons to see which you prefer. So you might find it harder to do long runs when it's warm, or do you prefer the longer evenings? 5/6 months from May (after Edinburgh) is Oct/Nov. There are loads of maras around that time, certainly major overseas ones but there would be more local races as well.