Inflatable
You have to plan this trip around the portage, nothing else matters. You cannot drag a kayak over rough terrain for 4 miles and have anything approaching a level of comfort as to structural soundness. If your kayak survives, you will be physically wrecked. Long portages take a long time. I am assuming this is only going to be a 3 or 4 day trip.
Dan is right on the money if you are restricted to using one vessel, inflatable is the only way to go. Or, get a kayak, paddle to the portage point and cache your kayak (cammy netting works well) and hike into this little lake of yours with a float tube. This to me makes the most sense.
Good luck, sounds like fun.
Eric
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