Hi Jp, from the images and mention of a thick kasane, it reminded me of one of those stout swords with long kissaki from the momoyama period, a shape that harks back to Nanbokucho blades. The dimensions however are not in the same ball park.
Reminded again about how difficult it is to judge swords from images. I dont know about anyone else, but sometimes been surprised when a sword has arrived and the nakago looks to be a lot different than it did in the images online, in a good way. Sometimes in pics, nakago appears to be that of a later sword.
As for Kajihei and the mei being removed, if it were him, id expect to see it with hozen papers already and cant recall his work resembling that of this sword, would need a further research
Looks a well made sword, bit of a mystery