I wasn't planning into adding IBB bounties for now, and as MesoTroniK said the IBBs aren't that "open" so I can't really fiddle around freely with that. i'll think about HVB though, this might be a good idea to have at least 2 or 3 bounties with unique ships and such.
For the name I may do something for this and may go for your first suggestion (Galaxy Tigers Industries sounds really great) since I want Galaxy Tigers to remain in the whole name, but again I'll think about it too.
Also for the number of markets the system has, don't forget that they only have 1 system while some other factions tend to have markets in at least 2 systems. GT have claimed the Tigris system being their own so to speak. The best I can eventually do is nerf some market conditions some Tigris' planets have.
Anyways, thanks a lot for your feedback and I'm glad that this mod pleases you
GTIS for short, thank you for allowing me, I really like the theme there
maybe you could create a sub-faction that often happens to be the bounties? Tigris Consortium, Cartel, a criminal wing of the system that isn't particulary tied to the GTI but doesn't have any animosity towards them yet, they can fight pirates and pathers, kinda like opportunistic corsairs, I have been looking for another "pirate-esque" faction for a long time, I play with NEX and I found that the Galaxy Tigers often picks and wins a lot of fights against the Hegemony they also pick fights with Blackrock faction and gains some of their markets, and do a little trade with Hazard Mining, but doesn't do much more than that, have you tweaked them for NEx?
EDIT: Sorry if some of the suggestions go a bit beyond your current scope of the mod, I realized a new faction is a bunches more work