One way to get a strap on the headstock is to put a length of bar or pipe through the spindle and loop a strap over each end.
Something to be careful about with these small machines is balance. It is easy to slip straps around the bed or through between the ways and around webs in the casting but lifting from a low point can mean you are below the center of gravity. Lifting from the spindle means you are very likely high enough to be above the C of G.
Also do not use a single strap that just goes up and over the hook on your hoist from one end of the machine to the other. This way the strap can slide over the hook allowing the heavy end of the machine to drop; even if you start out balanced as you push or tug it into position you can unbalance it causing it to slip. Loop separate straps between the hook and the points on the machine you are lifting at, and remember to keep the angle between the straps no larger than 60 degrees at the hook.
An open mind is a virtue...so long as all the common sense has not leaked out.