You should be fine as you would start your seedlings fast and furious.
Unless your gardener neighbor has a very specific microclimate it seems that put out seedlings into the garden on May 15 in your climate zone - is too early.
This is if she is growing warm season vegetables like tomatoes? Peppers? What else? The rest must be sown into the garden directly - cucumbers, squashes, corn, watermelons, etc.
All of the above require a warm - 65, not less than 60 degree
soil temperature at the depth of 4-6”.
https://www.greencastonline.com/tools/soil-temperature
You could just use oven thermometer which has full temperature scale - less expensive than soil thermometer - those just have a longer probe. Make a hole with the pencil, branch, etc and insert the thermometer to the depth of roots zone
It doesn’t matter if it is 90 degrees for days outside - if your soil is cold the earlier planted out seedlings just sulk, not grow really and could get ravaged by pests(they won’t be able to mount chemical defense against them) and diseases.
In addition - the soil could be too wet - the young roots won’t have enough air in their root zone
The same link will tell you your
soil moisture levels - 25% is ideal
Even smaller by size seedlings will catch up to those planted in cooler soil - don’t worry.
You could plant your seeds right before you leave: it may take them 10 day to just sprout - depending on the age of seeds and you will be back to look after them
You don’t need to transplant them into a bigger pot - if the soil is warm - they will grow fast and won’t have to suffer transplant shock as the big seedlings with a large root system. You still need to harden them or cover with the the light shade cloth when planting out - the sun and winds are very intense for them
If you need cabbages seedlings - including broccoli, Brussels sprouts - you could buy a few at the farm stand or even Walmart?
Don’t forget to plant those very firmly into a sweet soil - they will have trouble forming heads otherwise
They too just do better planted in the garden directly at an appropriate timing - in your climate planting in time for fall could be better than spring - the summer heat and intense sun could make them bolt.