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Made mine last year w/ about 10" of clearance. That seemed to work well, even with the boatload of snow. Focus on a wider and shorter set of ski's to help distribute the weight. It became quite the set-up with me being able to fit a boatload of stuff including multiple augers, a large pop-up shanty (collapsed) a plastic sled to hold buckets and misc, and a custom lightweight wood box for tackle and rods so they are protected. I couldn't find the pics I took after completion. Will see if I can set it up and take some pics to post. Need to get a few more items together anyway. Might get out to some lakes tomorrow but definitely on Saturday.
I made mine from a 2x6. It's plenty tall enough for the area's that I fish.
I'm up 8 inches. Have not pulled through more than 3-4 inches of snow so far but am disappointed in how hard the smitty is to pull, even with a deer drag harness. Is easier to just pull the clam nanook by itself.
There must be something wrong with your skis or set up then. Mine glides along fine and pulls easier with one of my shanties on it than the do with out it. I even put my jet sled on it when going out with out a shanty