You can generally expect some stress for a week or so after transplant. They do look a bit over watered. You for sure don't want your plant to sit in stagnant run off. If you have no way to get rid of run off try setting your plants up off the bottom of a rubber made tote, drill a hole in the bottom and put a fitting in it. Run some hose with an inline low volume pump out your window or where ever. If the pump isn't possible you can use gravity. The biggest point is to not let them sit in the run off. It can water log roots and over time change soil ph. Also you could check into a small ebb and flow set up. Just a thought.