First of all, Raspberries like their roots to be close to the topsoil - so don’t plant them too deep. You can mulch to control weeds, but lightly. If raspberries are planted too deep, (or have too much mulch piled on top) you’ll get big canes and lots of leaves, but little fruit. FULL Sun 8-10 hours a day.
Secondly, a 10-10-10 fertilizer is best for Raspberries. If anything, the middle number can be higher for better fruit production. Of your two choices, I would go with the compost - Hollytone is too acidic for raspberries. Add that to blueberries, evergreens or hydrangea.
Good luck to you and your new ‘little one,’ Sergeant Dave! :)
Raspberries like an acidic soil, and a sandy loam.
Warm, but not hot. Six hours of sun is plenty.
Same with all berries.
https://www.motherearthnews.com/organic-gardening/fruits/growing-berries-zl0z0905zhyd