[CalebD]

I have taken the Zenith updraft carb apart several times for cleaning etc. It is quite easy to do - yourself. It is also quite easy to put the float pin in upside down - which will cause the symptoms the OP is experiencing - gas smell, dripping carb. Obviously I have done this.
A fuel tank with a lot of ethanol crud in it will also wreak havoc on the float needle, causing it to get stuck in the open or closed position.
There is an old expression: "If you want something done right you will have to do it yourself."

 

[CalebD]

I left a clean white paper towel. If that thing is stained next weekend, then that HAS to be it. Either way, I know I need to pull the carb.

ALSO, the mechanic failed to seat the choke cable bracket correctly. Not sure if this has anything to do with it, but I thought I would mention it.

You are going to want to get a few oil absorbent pads at your local auto parts store to use instead of paper towel. The ones I use are white also. I keep one under my carb all the time to keep tabs on what might be leaking out. I also have some Marvel Mystery oil in my gas.

If the mechanic messed up the choke cable it is possible that your choke butterfly is not closing/opening fully which could cause you to burn rich or be hard starting.

 

[CalebD]

Running rich implies too much fuel which is consistent with your carb dripping gasoline. It is leaking because there is too much fuel.
Yes, it is probably the float valve/needle that needs re-thinking.
I'd get the carb rebuild kit from Moyer (new gasket, jets, float needle etc).