Here's my list of multi-day hikes near Vancouver that are snow-free in the spring. https://happiestoutdoors.ca/spring-b...ear-vancouver/
Most of these are further than 4 hours from Vancouver. The only one that does have huts is the Sunshine Coast trail. The SCT is quite long and some portions are higher elevation and will have snow in April. It is possible to hike the northern section of the trail north of Powell River as it is relatively low elevation. However, the huts on that section are not heated or insulated.