I would not recommend skipping ahead until you're told you can do so. So if you're on liquid, stick with liquid. This is all about healing now so you don't want to do anything that may cause problems. My full liquid phase included anything I could drink through a straw (without actually using a straw) so thinned out pudding and yogurts were good. And soup is always good but strain it if need be.
To get you through, go with Protein shakes. If you use fruit with a vanilla Protein powder, it will mask a lot of the taste of the powder. My favorite is orange juice, banana, ice, and vanilla Protein powder.
Drinking before and after you eat does not apply until you hit mushies/soft food phase. So get in as much as you can but make sure it's Water or Crystal Light. You don't want to be dehydrated at this point.
If you're still hungry and you have given everything you're "approved" to eat at this phase a shot, call your doctor and see if they say it's OK for you to move on to the mushies phase.
Good luck.