Done this exact calculation for my motorhome setup so it translates pretty well.
Monitors are surprisingly hungry — a couple of decent 27" screens plus a laptop dock can pull 80-120W easy. Running 8 hours that's nearly 1kWh just for the screens before you factor in lighting, a phone charger, maybe a small fan in summer.
My rule of thumb: work out your daily usage, double it, then size the battery for 2 days of that. Sounds excessive but you'll thank yourself on overcast weeks in November when the panels aren't doing much.
If you're going lithium (and you should, shed office is a perfect use case), the price difference between say 100Ah and 200Ah is rarely as dramatic as people expect. Fogstar Drift is decent value if budget is a concern. Victron if you want the ecosystem to grow with you.
Few things worth nailing down first though:
- How many monitors exactly, and what size/type?
- Any plans for a small heater or just a heated mat?
- What's your panel situation looking like?
Heating is the wildcard that changes everything — even a modest 400W oil-filled rad will dwarf your monitor draw. If that's on the cards, I'd say go bigger without hesitation.
What inverter are you thinking? That'll affect your options too. Would be good to hear what others have done with shed builds — I've been tempted to do a proper garden office myself rather than keep living out of the van!