In order to collect server information and obtain the results from the fabric:

If it's in fabric, how about putting the script on the local server and placing it remotely and running it, getting the results from remote to local, and deleting the script that you put in the remote?

Sample put and get fabfile.py
<Dear Quote Site: http://perezvon.hatenablog.com/entry/20091026/1256552181>

 from fabric.api import local, put, get

default_and_get():
local('date>/tmp/local.txt')
put('/tmp/local.txt', '/tmp/remote.txt')
get('/tmp/remote.txt', '/tmp/remote2.txt')

I personally recommend expect or sshpass as it will be done anyway.

If you simply want to run a local script remotely, you can use ssh.

 ssh user@host'bash-s'<local_script.sh>results.txt

If you want to give arguments to commands or take over environment variables, you'll need to do something more.

If you use fabric, save the code below to fabfile.py and run it as fab remote:hostname, local script name.

 from fabric.api import run, settings

def remote(host, local_script):
    # read the local script
    with open(local_script, 'rb') asf:
        script=f.read()
    # run it on the remote host
    with settings(host_string=host):
        resp=run(script)
    # save the result into results.txt
    with open('results.txt', 'wb') as f:
        f.write(resp)