I haven't been up to Taylor Park yet, I usually go in the fall when the crowds are gone. But I live in the mountains 100 miles south of there and we still have lots of snow blocked trails above 10,000 ft. This May has been the coldest & wetest in the 8 yrs I've summered here. Besides the heavy clouds, rain and colder temps, we actually had 3 snow storms during May. But after years of drought & wildfires, no one here is complaining. Around here the NFS usually opens the locked winter gates to the high country roads & trails around mid May. This year a few of them are still closed.
I would expect Taylor Park trails to be wetter than normal but ok, except the higher passes. call the store for a local report