You have to be VERY careful in D&D, and really any RPG, when it comes to restricting someone entirely from being able to do something. Otherwise, you could wind up in a situation where you get stuck.
Yep. Here's what I would do:
- Set the DC for door pushing to 20 for STR 10, and reduce that DC by 2 for each point in strength above 10. So a character with STR 20 will have DC 0, which sounds pretty plausible to me.
- Additionally, any party member can make an Investigation or Perception check to lower the push DC in half. This second DC can be a fixed number, because you use the best candidate from the entire party.
First of all, this creates an opportunity for teamwork (something I'm yet to see in this game), and encourages players to have a diverse party composition that covers a broad range of skills. Second, it leaves a very little chance that your party won't be able to get through (4 Sorcerers will have a problem here, but magic users can have their own failsafe options).
