Good grief, that -would- be nasty. There is 'white cranberry juice cocktail' tho, which would give you a similar effect without having to resort to combining fruits and milk.

Alternatively, you could go full tiki with gin, white rum, orgeat syrup, lime, lychee juice, (maybe a touch of pineapple while we're in here) and a quick dusting of nutmeg. If you do it in a standard large tiki bowl, you could float a waterlily in it, or use one of the other flowers with that name as a garnish.

(Punches that combine floral and fruity notes can be very pleasant - a basic screwdriver but with lavender-tinctured vodka is very pleasant and relaxing)