I am fairly new to bowhunting and currently have a hostage rest on my bow. I am thinking of switching rests but am not sure if I should go with a drop away, whisker biscuit or just get a new hostage or hostage type rest.

Any suggestions are greatly appreciated.

IMO there is nothing wrong with hostage or WB style rest they work very well and are accurate,but I switched to a drop away and won't go back to the other style,I use a Rip-Cord and found it to be more accurate and faster then the full containment style rest!
Its more of a personel preference, though the drop aways can be a little harder to set up so if you do switch I would recommend having a pro shop install and set it up!
Hope this helps,and welcome to bowhunting its an addiction!!!