Paranoia Play-by-Post GMing Techniques

I am planning on running a play-by-post (pbp) Paranoia Troubleshooters game. Due to the nature of a pbp, its possible that the dramatic tension of a properly run Paranoia game will be lost.

What are ways to increase tension, inter-party distrust, and character information leakage (i.e. players trying to sneak a peak at the "secret" side of the character sheet, or trying to look at other player’s notes to the gm) while retaining the asynchronous aspects of a pbp?

GMing with an overtuned skill monkey

I have a player in one of my games, who has managed to create a build that can roll a minimum of 41 by level 7 across a large plethora of skills (mostly excluding dex/str based skills). They use these (alongside spells) to set up webs and endanger opponents without getting directly involved, until the party is ready to attack or fight as well.

However, with such high skill rolls, I am worried that other players will start to feel that they should not even bother with skills. I have talked to the player and we have agreed that he will keep some of his uses to background use or last resort and he is okay with that.

How can I show other players with less skill focused characters that their skill usage still matters?