I can’t speak to Blood Rage directly, since I’ve only had 2nd-hand experience with it.
I have played Rising Sun, and it’s pretty good. Eric Lang (same designer as Blood Rage and Chaos in the Old World) really builds solid area-control wargames. Rising Sun was a little too abstracted for my personal tastes, but it is good if you want a tight auction game that also has some combat. I do wish the combat was re-jigged a little… but the game is less objectifying than Blood Rage, and it is an interesting puzzle.
Another vote in favour of Battle for Rokugan as a really good area-control wargame (hereafter ACWG). It’s like a faster, more blood-thirsty Game of Thrones 2nd Ed, which is a good thing (as much as I love the big ridiculous Game of Thrones game, it has balance and length issues that Rokugan does not). I do wish it were a little more asymmetric, but it is very tight and well designed.
If you can find a copy of Forbidden Stars, that’s my favourite ACWG for many reasons. I usually describe it as a knife-fight-in-a-phone-booth, and it is so good at that. I have once had a player eliminated, but it’s rare since the game in no way rewards you for pursuing that tract (and in this case all 3 of the other players were actively telling the one eliminated player not to do certain actions which he ignored and got him eliminated… sooo…). Sadly out of print, but in my opinion probably the best ACWG.
Cry Havoc has the advantage of still being available (sometimes), and is a pretty close analog to Forbidden Stars. The combat is fantastic, low randomness affair that is really evocative and always feels controllable (which isn’t the same as winnable, obviously). Plus no player elimination, asymmetric factions, and no rewards for turtling. A really solid game, if unfortunately named and with generic theming.
If you are looking for something a bit more bloodthirsty than Inis (which I love, by the by), I might recommend Cyclades. The addition of dice into the combat make it a bit more swingy, but the conflicts tend to be faster and more aggressive than Inis due to a lack of diplomacy. Usually I would argue that’s a weakness, but for a good ACWG to just get you out of the gate swinging… it’s pretty satisfying.
Other than that, I have to mention Dune (get the new one if you can, or the equally-good-but-slightly-different Rex). Factions are balance-through-perfect-imbalance, which means you need 4-6 players to have a reasonably well balanced game, but it is a fascinating political-war simulator. A don’t like Cosmic Encounter, the next game the Dune team designed, but if you want a tighter, more controllable game that’s kinda like Cosmic, then this one is a solid recommendation. Plus, the Bene Gesserit are a riot to play.
Last one is Heroes of Air, Land, and Sea. Basically Warcraft 2 The Board Game (“Join the army they said. See the world they said! I’d rather be sailing.”), it is a neat little 4X game with a pretty heavy emphasis on fights (you get more points for fighting-and-losing than you do for not getting into fights at all, which is nice). It’s not great, and it’s got way, way more pieces and a higher pricepoint than it really deserves, but there is a lot there. I am sad you can theoretically have a player eliminated (they make it implausible, but not impossible, and I usually like ACWGs in which it is actually impossible to be completely eliminated meaningfully from a chance to win).
There are others I could recommend (Space Empires 4X, Empires of the Void II, Shogun, etc…), but they tend to be more specialized than just general-purpose ACWGs.