My take on Noburi's build is that we should get MedNin to 50 and then stop leveling his medical skills until Tsunade scoops him up. He'd be good enough to pass her test by then, and we can redirect focus to impressing the Toads & getting Sage Mode. Truth be told a Tsunade apprenticeship is the most valuable thing he actually gets out of medicine right now, given that he's hanging around Leaf in a relatively "dry" period for medicine, dry enough that Tsunade left to be more useful elsewhere. We may want to re-ask Noburi if he still wants to continue focusing solely on medicine once he gets there. Honestly as a player it does feel hard to justify the medical purchases mechanically sometimes, despite the narrative incentives, given that medicine doesn't do much for us.
The Toads are impressed by being a strong warrior so I'd suggest things like getting WDB to 49 (49 + 5 (jutsu bonus) + 8 (6 boost + 2 ACE) = 5 attacks at 62), getting WW to 59, Hozuki's mantle to 39, improving Rapport to persuade the Toads, and naturally, leveling Physique to 40+. (I suspect we will need minimum Physique 50 personally.)
Also Oneiros is right that we should start tracking his notes again. I think the reason we didn't was that we were discussing how to invest his time. My final suggestion was ACE, 1 block of notes, and 1 block at the hospital, with Noburi override on the notes if they have a busy day at the hospital (but again, supposedly it's a slow period.)