Follow Scott Hersha's suggestions. I do basically the same thing and it takes one to two hours a day for a week or so. I have not had a lot of luck with the heat gun as glass tends to have a bit of a memory. You can see fine examples of this memory at AirVenture when you look at nice painted farings that have gaps between the screws.
Try to make the part fit so that you can use the minimum number of screws. It looks better and you will get your time back many times over the years of maintenance.
Tom Martin RV1 pilot 4.6hours!
CPL & IFR rated
EVO F1 Rocket 1000 hours,
2010 SARL Rocket 100 race, average
speed of 238.6 knots/274.6mph
RV4, RV7, RV10, two HRIIs and five F1 Rockets
RV14 Tail dragger flying #153
St.Thomas, Ontario Canada, CYQS