I would save the weight of snowshoes and just bring a shovel instead.
(kidding)
But seriously, the snow up high will be pretty soft with the forecasted warm temperatures. You won't be "postholing" per se, but you will be stepping in slushy knee deep snow with a nice 3-6" of pooled or flowing water beneath it on the trails below treeline and above 3000'. Snowshoes will prevent you from sinking all the way down, and they will also allow you to step over all those annoyingly deep and awkwardly spaced footprints left by barebooters in front of you! You'll still be sinking in a good bit and sliding around with the snowshoes on, but it all comes down to personal preference and tolerance for those sort of conditions. Either way, gaiters and waterproof boots will be worth their weight in gold for the next few weeks.