I ended up buying a Honda EU20i, partially because it's the largest size that I can easily carry over substantial distances - and the optional for adding a companion unit for 3200W/4000W down the track if needed.
After doing lots of reading online, watching YouTube clips, and talking to people, I learned that the starting currents of the cheap portable air cons can be as much as 600% of the rated operating current!
Inverter air cons apparently have much gentler starting requirements because they can vary the motor speed. Portable inverter air cons are somewhat rare due to their cost, but the
DeLonghi PACWE18INV is one such unit. It also uses water evaporating over the condenser to boost the cooling capacity - supposedly has a cooling capacity of 5 kW with a
maximum power consumption of only 2000 W. Downside is the price: between $1250 and $1500.
Something for me to think about in the lead up to next summer, perhaps...