Saira Nitya Sunfire (AliceP27V% Resident)
Okay so it's looking pretty certain it's an inventory issue on the affected account.
From your LL viewer log:
Second Life Release 126.96.36.1990054
Login button clicked at T23:48:47
Login request sent by viewer at: T23:48:57
Login request received back at: T23:50:09 (that's really quite slow... this is where you will see "Logging in..." on the login screen)
Creating inventory views starts at: T23:50:18
Creating inventory views ends at: T23:50:23 (5 seconds to create inventory views - this is fine).
Login completes at: T23:50:24
Total login time: 1 min 37 seconds.
Total login time is pretty slow & it's risking a time out but you do get fully logged in.
Most of that time (1 min 12 seconds) is waiting for the reply from the login server.
You have problems connecting to voice in both FS & LL viewer logs too, though doubtful if this is related to your problem.
Log cuts dead at T00:23:34, so you manage to stay inworld ~30 mins before the viewer freezes.
If the problem was something going wrong with the inventory, I would have expected you to either time out during login or for the viewer to freeze quicker then this after login.
Roughly how large is your inventory?
You hinted above that your inventory is always empty when you login s if you had cleared cache, but you didn't, and that the viewer freezes once inventory is about fully fetched. can you just clarify that? Does the freeze always seem to happen just as inventory is fully fetched?
Because this does look like it's some kind of account specific inventory issue, best thing to do is to file a support ticket with Linden lab support at https://support.secondlife.com/create-case/ and ask for your inventory to be checked for problems.
You will get a Scout at first & they will make you do all the usual things (cache clear etc etc) so make it clear to them that this problem happens on both the LL viewer and Firestorm and it only affects one of your accounts, that you suspect it's an inventory problem and they should escalate your ticket to an actual support Linden that will check your inventory.
This usually takes a few days to get a ticket escalated so what you can do in the mean time is, try to login on Radegast text viewer: http://radegast.org/wiki/Radegast_Download
It's quite likely that this viewer will not freeze, though it depends where the problem is.
Examine your inventory on Radegast & see if you can spot anything amiss - for example folders outside or root inventory or multiple system folders or an excessive number of calling cards.