NOAA's Climate Prediction Center has released the outlook for May and for all of the region, both average temperature and total precipitation for the month show no tilt to favor either above or below normal.
This doesn't mean that near-normal is expected, but rather, there's nothing in the experts' estimation to change the odds from 50/50.
For Nome, the normal temperature in May rises from 32 on the first to 43 on the 31st. During the past 118 years, temperatures in May have ranged from 11 below in 1949 to 78 in 1981.
May typically has a bit more precipitation than March or April, but the big build up to summer rains hasn't started either.
Except in the Bering Strait and on St Lawrence Island, until late in the month most May precipitation falls as rain at low elevation, but Nome has only had one May in the past century with no snow at all.
