Based on the work of Jan, DJ1JAN I've build some QRP-1:49 UNUNs.
My first experiences with this board on 20m using a FT82-44 core are, that the core gets hot at 5W on 20m / 14MHz.
Based on this experience I consulted the mini Ringkernrechner and and did some calculations. As far as I understand, the primary coil with 3 turns limits the maximum usable power.