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I don't think the C3750 software is available to be downloaded anymore as mentioned by @balaji.bandi, in fact, if you try to go to the C3750 dowload page on Cisco website you get this:
Cisco Catalyst 3750 Series Switches - Cisco
From what you described it seems that there is some asymmetric routing on your network of the traffic flowing between ISE and the network devices, or a malfunctioning bond on ISE. I would start with disabling the bond on ISE and take it from there.
On the debugs you shared it shows multiple TACACS socket timeouts. I'm wondering if there is any network/dely issue between the switch and ISE. Have you configured TACACS source interface on the switches? if not, I would give it a shot. The command w...