They take about six days to emerge at 80 F. So if you can find a shady place where they can be held at 70 degrees, you can sow them on April 13th, place humidity domes on them and then give them some bottom heat when you get back to finish germination. Saves a few days this way.
Late April is far too early in your zone to plant out peppers or eggplants. Maybe tomatoes if you give them protection and it's a warm spring.

Wait until you get back for best results or at the very least, don't start them until right before you leave.

Dave