Wow, lots of posts now!
I had originally assumed the end of your garden hose had the standard garden connector at the end (to thread on nozzles, sprayers etc).
Going off of Hardway's post (#13) you could use a connector (doesn't have to necessarily be a 90 degree elbow, could be straight) with a 3/4" barb into the end of the hose (secured with a hose clamp) and a 1/2" NTP thread on the other. Then attach to a toilet hose.
hose -->
to this [click me] 
-->
to this [click me] 
-->
to this [click me] 
-->
to your toilet.
This will give you 1/2 supply into your toilet a bit cheaper using nylon.
I know my toilet has a 3/8" supply valve but our municipality supplies water from 40-60 psi. With your reduced pressure the increased diameter should speed up the fill times.