I'm a little late, while I havn't grown alantic dill pumpkins I have started
growing the "Big Moon" variety from RH Shumway. My biggest last year was 120 lbs, while most were 80-100lb range. We did have a few months of drought so that doesn't help. At least our 1 year old son fit inside them nicely for pictures.
I like the Big Moon variety because most of the pumpkins get the true orange of the smaller pumpkins and they keep a nice shape. To each there own.
Regardless of type to get them big I've found you need to try providing the following:
Good soil with lots of compost in the
spring.
Good spacing-big moons seem best at 18'x24', we prune them after they set a few good pumpkins to keep them in the size space listed.
Try not to compact the soil a lot in the area were they will grow-the vines constantly send down roots as they grow. I put a marker(3' fence post) at the main root and use the same path to it as much as possible.
I put the transplant in a shallow recessed hole about a 1' circle when planting. This helps collect the water later on.
If it doesn't rain much, water on a regular schedule. I try to maintain a 5 gallon pail full to each main root every 2 days if it doens't rain. Watch the giant leaves on the vines, their the best indicator. But also these large pumpkins are lots of water at harvest you can hear it slosh inside. So to grow them big you really need to keep them watered.
Once a week each main root would get a 5 gallon pail mixed with Miracle grow bloom booster. I'm not sure how important the brand of fertilzer is, but we have a large container of it on hand for
flowers so thats why I use it.
Put a 2'x2' square of the pink or blue 2"thick stryofoam under the pumpkins when they are small. It helps prevent bugs from burrowing into the back side. I've been told for larger pumpkins a small pallet then the styrofoam is a big plus in safely moving the pumpkin at harvest time. I've never had any so big I needed a bobcat to lift it, so I skip the pallet.
I don't have much time invested since I'm out doing other garden chores. The leaves end up choking out
weeds as they grow, so that saves a lot of time later in the season. The leaves end up being past my knees in height so it blocks most
weeds.
Hope this helps & good luck!