Dude - I broke my arm two inches from my wrist last November and was front squatting like a (very weak) boss in February this year! No excuse.
Work on your flexibility, as it will only bite you later (yadda, yadda).
The alternative is the cross-arm grip whilst the barbell is resting on your delts (guessing you've tried this?)...
I'm not having a go at you or anything here, but it gets annoying when people go 'oh I can do this, so you can to'
Everyone's different
I smashed my wrists up many a time over the years, so it's probably due to that, just having my hands in a press up position on the floor causes enough problems
From discussions I think it's due to some flexibilty in my shoulders, which is making me have to bend my wrists more (enough back squats can be annoying sometimes), but it's something I'm working on.
Tried the cross over arms position yes, just need to work on it, as I couldn't hold as much weight that way around last week, but I'll give it a whirl tonight and work on something
generally front squats are okay, its just after x amount of reps/sets my wrists become an issue