Yes. There are also lots of other options within a few hours. Cal salmon, Trinity, scott, Chetco, Illinois, Rogue, Upper and lower K, to name a few. It all depends when the melt and rain happen. Not much snow pack but April will still have options.
Smith river is mainly rain fed. Middle fork will be running in mid April. N fork will run if there is any rain. Check out the s fork gorge too. It has the same take out as the middle fork.
Northern ca is probably a good bet this year in mid April even with low snowpack. The smith is not too far from the cal salmon, Scott, trinity. If you have 2 weeks you could also possibly do the m fork feather, giant gap, and maybe something in the yuba drainage. These all run pretty reliably in the springtime.
If there is no water in central ca, you could head up to southern Oregon.