What size mini split does a 200 sq ft bedroom in Lewiston, ID need?

Notes

• The "20 BTU per square foot" rule is a Midwest number. Lewiston runs 1,089 cooling degree days, which works out to 20.7 BTU/ft² — so for this bedroom the rule is 4% short. A single national figure has to be wrong somewhere, and this is where.
• Bedroom: the room where oversizing hurts most — quiet, low load, long runtimes wanted.
• 6,000 BTU/hr is 45% above the load, and the gap between head sizes is wide — this is already the smallest head. In a single room that matters more than it would on a central system: there are no other rooms to absorb the excess capacity. If the room is well insulated and shaded, the smaller head is usually the better buy, and modern inverter compressors modulate down far better than they modulate up.
• Lewiston is dry — nights fall 29°F below the afternoon high, which only happens when there is little water in the air. Latent load is small, so nearly all of the head's capacity goes into temperature. A slightly undersized head is forgiving here: it simply runs longer.
• Do not forget the winter side. Lewiston designs to 13°F. A cold-climate rated head will hold most of its capacity there, but a standard one will not — ask for the capacity at 13°F in writing.
• Where these numbers come from. Lewiston Nez Perce Co Airport, 6 km from downtown Lewiston, daily records 2015–2024. Design temperatures are calibrated against published ASHRAE values at eight airports and land within about 2°F of them.