I would like to know are there any Action or Timed puzzles? (I hope not).
There are a few puzzles in my game that are time dependent, but nothing too demanding. Like you, I hate being rushed to solve a puzzle. The two most difficult are a shooting gallery and a timed maze sequence. In both cases, if the player fails to complete them sucessfully a few times, the "prize" is given in any case. The puzzles are included more as a challenge for those who enjoy that sort of thing!
There are a couple of others but finger dexterity is not necessary. In one, it is realising that it is time dependent that is important, and in the other it is memorising a sequence of steps that is the key.
I have tried to make the many puzzles in my game as varied as possible, so there will always be a few that some players find more tricky. I have made a player guide to help anyone who gets stuck, and I'm always willing to offer personal assitance as well.
I hope you will not be put off trying Adventure Island.