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Now you're entering the realm known as master of all trade, jack of none.
The bike that was suggested were great for off roading, touring and the like, and can handle some fast club ride or weekend jaunt, however when you want even bigger tyres, you're reaching to the point that it won't feel as fun to ride as a club bike, not that you can't do such ride on it, just that the geometry will feel a little sluggish like the bike felt heavy.
Sound like you want an Adventure bike, like the GT Grade.
not sure about the tyre clearances on the croix der fer.
Thinking of just getting the frameset. I have an old groupset I can use and parts..
around £400