I guess your biggest difficulty is that you don't know how the new equipment performs.
If you can estimate the new equipment boil off rate, kettle losses, mash tun losses, that will at least let you know your water uses.
Also, having a close guess as to the brew house efficiency will allow you to get close to the gravity you're targeting.
There are also fermentor losses, transfer losses and chiller losses to be determined.
You can start by scaling a known recipe, then adjust for the new efficiency. Make sure the boil off rate is correct and then start to compare it to the original recipe as far as ABV, IBU, SRM, etc.
It's a start, but you have way too many unknowns to be more accurate that what I just gave you.
I'd definitely start with a light hybrid at the high end of the style guidelines as they aren't hoppy and would be more forgiving that a dry hopped DIPA!
Good luck,
Brian