The Broderick might be an option. While the Broderick was replaced in 1906 there is photographic evidence showing it still being worn by reserve bns and overseas regualrs up to 1910 and maybe 1912.
The TF at the time were a bit of a law unto themselves with badges and headgear so the Leicters TF cold have worn Brodericks beyond 1906. However this is unlikely imo for the following reasons:
1. The TF had a real thing for slouch hats and hung onto them for quite a while. Is there any evidence that the Leicesters TF actually wore Brodericks? The regulars disliked them intensely and I cannot remmeber seeing a photo of a post 1908 TF solider in one.
2. Secondly if they had done and not replaced them in 1906, then they would have had Leicester VB badges in them. If this badge was a post 1908 private purchase badge for the Bn why put it on an obselete disliked hat and not on a new FC cap or on their beloved slouch hats.
3.
http://www.1914-1918.net/leicesters.htm As the Leicesters TF were not sent to India in 1914 to backfill the regular bns who went to fight, it is unlikely that the TF bought long slidered badges for their Pagris. I think you can rule this pagri option out.
Alan