What's the point of having a year's worth of savings if it's all sacrosanct? It's there to be spent on rainy days. I agree that sitting in a coffee shop drinking and smoking the days away isn't a good idea, but by all means take some time to decompress and get your head right after a blow to the ego and psyche that getting laid off might represent.
3 months in, you've still got more runway than most job seekers and can still interview and negotiate from a neutral position. You don't have to go walking in tail between your legs and begging for a job to put food on the table.