At 6.5Kgs base weight the AW is going to be a push for TR which has a weight limit of 6.5Kgs. The limit for F/TR is 8.2kgs and woe betide you if you even go one gram above this so you need to be fairly imaginative to build an F/TR rifle with an AI however it can be done.
I am with Chuck on the choice of the AI/AE. The AE is not a Remington clone, it is not he Tescos value AI, it is every bit as accurate as any AW, the only difference is it is not as well suited to 6 months in the jungle as the AW. I know someone who placed his AE on the tailgate of a land rover which his wife then drove off in, by the time he had realised what had happened the AI/AE had bounced off the back and was lying in the field, a hard sun baked field. He looked it over and then took a shot to confirm zero, all was good and the day continued however they did have words that evening. Obviously it was his fault...
Closer to home I heard a massive thump one afternoon and called out to the Viking WTF (Crikey, what was that?) 'No worries she replied, it was your AI falling out of the cabinet. It shot perfectly to zero the following weekend and was used at 1000 yards as normal.
These days it looks like this which is exactly 9kgs.
