One way I found to be quite useful is to use a thick bath towel.  Those that the hotel provided are good enough. 
First, you would wash your tights/hosiery as you would normally do.  By hand and with warm water, with a little travel wash.  Before you hand those clean, soaking wet tights over the clothes line over the bath tub, get hold of a bath towel.  
What you want to do is to lay the tights/pantyhose flat on the bath towel.  Then roll the bath towel with the pantyhose/tights in it.  Then give the rolled up bath towel a good wring to squeeze the water out of the pantyhose/tights.  Then hang the hose on the clothes line over the bath tub.  
Amazingly, the tights/pantyhose would be dry the next morning or within the next 12 hours, without the use of the heater!!  Works for me every time.  

  
