Kiwi, is there any lift point, a bolt or ring, on the top of the genset?
Some folks have used a beach ball, soccer ball, basketball, old inner tube, as an air lift bladder. Let the air out, slide it under, inflate to lift. There are real lift bladders sold in auto shops, to be used instead of car jacks, but they tend to be way more expensive. A hand pump putting 50 lbs. of air pressure in an old inner tube, multiplied by the area of the tube, can lift a lot more than you think. Just make sure to slip some blocks under it, so you don't crush fingers if it deflates in a hurry.