How to correct for crosswind in VOR holding pattern without wind information?
One you are established inbound on the VOR radial note the heading you are flying to maintain that course. The difference between that and the radial is your wind correction angle. Multiply it by 3 and apply it to the outbound course heading. 

To do this you don't need to know anything about the wind.  You just need to be able to intercept and track the inbound radial. 

You can repeat this every inbound leg so if the winds are changing you can update your correction every 4 minutes and you always know you are on course one of ever four minutes. With the generous obstacle protection area even small errors will not compromise safety.