I think it's the best way to cool it down.
Get yourself one of these, you can find them by searching for "Infrared Thermometer GM320" for below 10 bucks:
https://de.aliexpress.com/item/1005004177656909.html
I suspect it may be off half a degree or so at times, but it's close enough for technical applications. Try to measure the temperature of a clear sky in the heat of the summer, you will be surprised. ;-)
Anyway, i measured my V3@48V at 46°C at the highest, driving a pair of Wharefedale Linton 85 at "groovy" levels over a few weeks. 46°C feels hot to the touch, but is far from overheating the chip or any components. It's about as warm as the inside of my Yamaha A-S1200 or the surface of the enclosure of a MiniDSP Flex.
No need for active cooling, in my opinion. It may make yourself feel better, but there really is no need.
@Fosi Audio You got a winner, but it doesn't even come close to even the cheapest Yamaha, Denon, Rotel, NAD integrated amplifiers. Where is the remote? I want to switch between speakers, i want to connect multiple sources, i want tone controls and a headphone jack. Just a good implementation of a Texas Instruments TPA3255 won't be good enough in the long run.