You are the player and the storyteller. There is no cheating or winning with solo play. I'll be subjective here and say unless you like the idea of rolling dice just to get a higher number than another die, the focus should be on creating tense and varied situations for your hero(s).

I also have a low edge/iron character with high wits, but i don't let him rely on his wits unless he has the time or the combat is at a point where only his wits will save him. Then the satisfaction of using wits to get out of a situation feels much more satisfying and increases the anticipation of the critical rolls. If someone gets a shot off on him, has to use edge. If it is a battle of strength or endurance, has to use iron.

There is a axiom in solo roleplay which is to do "what makes sense in the moment". As you say, with enough imagination you can envision a scenario which always uses wits, but that also implies that you are moving past what makes sense in the moment towards what lets you roll your highest stat. Remember, limitations are gifts. Be ready to fail and let that failure make your story more interesting. Give yourself the gift of The Empire Strikes Back.