I say go ahead a have solo sex. If you're like me, you'll be horny again in a few hours.
Your wife is being totally unrealistic. She might as well be wishing for water to flow uphill. Maybe I shouldn't complain that my wife prefers that I masturbate so she doesn't have to bother with sex. At least she allows some form of sex in this house, though, like you, I would prefer to have it with her.
How would you feel knowing that essentially that she UNDERSTANDS that she is asking you make water flow uphill. That she knows it BURNS YOU UP, that it reduces your masculinity over time and she just does not care... "That's not her problem..."