I've been during that part of March several times because of my kids school breaks, and in all honesty, I think I'd pick June if I had the choice. March has refurbs, a higher chance of rain, colder weather, spring break crowds, and spring break hotel prices. If you're a foodie, maybe F&W holds some appeal, but in my opinion it just brings out locals on the weekends which completely clogs walkways that you can't avoid because of Marvel land construction.
I sound like a March hater! I'm really not, anytime is a good time at DL, but I'd still pick June.