I've been watching for heirs with my 'roaming army'. Haven't found any. I might give killing that Daimyo a few more chances.
But with the current amount of troops I have left, I can't defeat the remaining armies on the map, I think. Not even if they turn Rebel and no new enemy troops are made.
Turn #141:
They give up on Hitachi. 5000 koku from that.

Moving on to Shimosa.
No further changes.
Turn #142:
They move in some men to Shimosa... have to attack. 436 vs. 420.
They start to retreat when I cross the bridge. Chase them of course. Killed 172, lost 5.
Move 2 units into Kazusa. Don't dare to go there with my entire army, because the Hojo might then retake Shimosa and I would have only one way out: trough attacking a full stack behind a river. I hope to hold Shimosa 2 turns and then move back westward.
Turn #143:
Aw. Major attack in Shimosa. 431 vs. 1548. Most men sent in my port.

Lol. Shogun: Total Slaughter.
First wave was drama! Shot down dozens of ND, then blocked the bridge with 2 units of Heavy Cavalry. Lost few, killed loads, especially because they were so many that they could easily run away from the bridge. After that, slaughtered some individual units here and there, and voila
Killed 994, lost 16.
My Kazusa-attack was automatically cancelled. Trying again now.
Turn #144:
Lol! Once again. Now: 415 against 1607. (Gah, my Kazusa-attack is cancelled again

)
Same story. Killed 1110, lost 23.
Trying Kazusa for the third time now...
Turn #145:
Finally. Kazusa. 112 vs. 120.
Simple. Killed 114, lost 3.
Moving the units back to Shimosa. New harbours are emerging already. I think I'll take my army and go back westward, towards his daimyo.
Turn #146:
Moving into Musashi
Turn #147:
Resistance in musashi. 389 vs. 180.
They retreat when I cross the bridge. Lose 4 in the chase sadly, but kill 99.
Moving to Sagami.
Turn #148:
They gave up on Sagami. Moving to Kai. (Izu has nothing to pillage, Kai has mines, and Sagami had harbour)
Turn #149:
Major attack on Omi. 446 vs. 1078. With only 2 skirmisher units and for the rest weak infantry I don't know if it's winnable. I'll go for it though.
Tough battle. Killed 435, lost 189. Their reinforcements killed a lot. The first wave was pretty easy with a few volleys and a charge. (they even rout from a infantry charge

)
The give up on Kai. Invading Shinano now.
Turn #150:
Resistance in Shinano: 385 vs. 397.
Enemy retreats when I come close. Manage to chase some down still. 81 kills.
Going to give surrounding his Daimyo a try. Attacking Mino bigtime, and leaving my army in Shinano at the defense. Will be hard to get this done, but maybe it'll payoff.