I wrote up how I approach strongman training on my blog. If you search "Mythical Strength" "My Strongman Training Program" on google, you should get the result.
Lift 4 days a week, conditioning 2-3 times a week.
You can use ROM progression with axle deadlifts to build up some quick max strength. The first cycle tends to get some real good results.
For press, stick with the axle and rotate between 1 day of clean each rep, 1 day of clean once and press away with reps in the 8-12 reps, and 1 day of clean once and press away with reps in the 4-6 range.
On your squat day, you can train the axle clean as a movement to work on it.
Bench day is just a good day to build up some strict pressing strength.
For a conditioning day, you could train your loading then. Use whatever you got, work on pick-ups and loads.