They will be fine mate, try and make some supports for them if possible? If not just keep them in a propagator with vents shut high humidity. I have had a lot worse than them survive.
Edited to add keep the propagator lid misted only and the riot cubes damp to aid root production, because if you spray the foliage to often they get used to foliar feeding and do not rush to send out roots. IMO
give them a good soaking, drain off the excess water and put them under a dome ( I use a Rubbermaid rough neck clear container to set the tray in) and let them sit undisturbed for 3 days, on the 4th day crack the dome a bit to give the babies some fresh air, usually at this point no plugs will need water. continue to crack the dome daily until roots start to appear, once roots appears on roughly half the cuts the dome can be removed, when I remove the dome I turn the cloning light off for a bit to let them adjust to their new environment...this is the method I've used for sometime now with 95-100% success...
What keeps stalks and stems stiff is transpiration. Water evaporates out the leaves sucking water up through the roots and... D'OH! Someone stole your roots!!! Yoiks! Couple a huge evaporation system operating full steam with no intake system to replace lost water and... cuts fall down, go boom.
Domes can treat this but, once plants become accustomed to high RH they're loathe to give it up. Weaning plants slowly back to ambient temps is key.
However, short cuts with well trimmed leaves will severely restrict evaporation thus requiring far less water intake. This relieves the need for domes and the need for weaning as well.
As FB points out, transpiration rate is controlled by RH as well as the amount of leaf sulface area. Anything that makes the plant transpire more water out the leaves than it can replace with it's roots (or cut stem) will cause it to wilt. Simply trimming the leaf area down to the appropriate amount eliminates the need for a dome. Another often overlooked parameter that drives transpiration is light. People often use too much with clones. The right amount is just enough that the cuts don't try to grow, which will be evidenced by yellow new growth (because no roots yet to provide nutes). Cuts at the right distance from the light level their leaves to the light, but don't try to grow to reach it. No top growth equals much faster root growth.
I never have an issue with using a dome...when I finally pull the dome off for good I give them a light misting with plain water and turn the light off for an hour or so and when I turn the light back on they are standing to attention...
If you make your next cuttings half the size of these you will have better luck when rooting. Cutting the fan leaves in half will also reduce transpiration losses and provide more air circulation around the new cuttings, reducing the chance of powdery mildew.