True, recovery straps have elasticity and good ones are not cheap.
As mentioned above, load rated nylon lifting straps/slings are the next best thing and not horribly expensive if you have to buy new, or if you know anyone in heavy construction, get a used one that is no longer legal to use for hoisting.
By law we are supposed to cut them up once work beyond their service limit, but everyone takes them for tow straps. 2" double ply or 3" eye to eye sling is perfect.
But the bigger the better. Endless slings work well also. All provide more cushion and less shock than a chain, but we've all probably used chains before. Just put a dampener over it so if it comes apart under load no one or nothing is eating a high speed chain!