If you want your best possible time, why no taper? Nine weeks is plenty to ramp back up and taper again. Take one short, easy week after the half and you should be fine, and you won't have to wonder how much better you could have ran if you had rested.

If the above is your schedule - I would do this leading up to the race

Saturday before 16 - Make sure you run it easy pace
Sunday - Off
Tues - 7 or 8 total miles with only 15-20 minutes at T-Pace
W - 6 miles
TH - 4-6 miles - slow pace + 4-6 20 seconds striders
F - Off
Sat - Do a very slow warmup of 2 miles - Run the 1/2 mary all out and do a vert slow cooldown of 2 miles = 17 total

The week following the 1/2 marathon - Just listen to your body
Sunday - Off
Monday - If you feel tight - Do 4 easy miles
T - If you feel tight - 4 easy miles else do an easy 6-8 with 15-20minutes at T-Pace
W - If you did tempo tuesday - just go back to regular routine, else do tempo on W
F - off
Sa - I would plan on 12-16 miles but it depends on how you feel.

Although it will likely take 10 days to 2 weeks to fully recover - You should recover enough within 3-4 days to go back to training - Just a little less intensity and a dew less miles.

Week #2 after - You should be able to train normally - Full mileage - full intensity.