The Carbon Cub is indeed a cool aircraft. If money is not an issue it is a great performer with surprisingly good handling characteristics. Personally, I have not flown one, but have some friends that have and they where surprised how well it handled. Don't know if the price justifies the great personality of the aircraft, but there is another aspect. Insurance.
Learning to fly in it may not be possible, if you want to be insured. For one, it is not super repairable. Repairable yes, just not at a cheap price. One the buds I mentioned did ding his, nothing special and my jaw hit the table when I heard the repair bill. So the insurance carriers, all three or four of them remaining now, must know this as well. Heck, just tried to get one of my buddies last hour of float flying to get his check ride (the shcool's aircraft had a maintenance issue and will be down for some time). One of my other buds has a Huskey on floats, with the reversing prop, and has a CFI Seaplane and has an irrational amount of time in scores of aircraft (its his toy, he flies Citations). The student has boatloads of time as well (owns a Caravan). Answer, NO, HELL NO. So perhaps you should reach out to an insurer before you fork over any money on the Cub. The possibility of dinging a taildragger is quite high compared to nosedraggers, they keep track of that stuff.
Go get instruction is a Citrabria, Cub or the like in somebody else's aircraft that has insurance for instruction. Frankly, get it in anything and then transition to taildragger. It will go faster as a course, easier to find an examiner to do the check ride. Once you have that nice new ticket, go get some transition time in the Carbon Cub, like 25 hours with the company that makes them, or their designated check out dude. Then an insurer may touch you.