Putting in a larger fuse is masking the problem. Toyota would have designed the circuit protected by the 7.5 amp fuse to be operating well below that normally. So odds are that your present operating current is probably double what is normal. So you should really continue to troubleshoot the problem. Put your ammeter in series with the fuse and start disconnecting things on that circuit. When you disconnect something and see a big drop in current, you are probably getting warm.
EDIT: After thinking about this a little while, you can remove the fuse, switch your multimeter in 10 amp Ammeter function and substitute it in place of the fuse. Now your ammeter is in the circuit measuring total current at the fuse. You will note (looking at the schematic in the FSM) that this fuse powers more than just the instrument cluster. A leg goes off to other places like the check engine light in schematic 1 section 4, the charge warning light schematic 1 section 6, etc. Start disconnecting these circuits and watch for the big drop in current. It may take awhile, but you'll find it. Better to be doing this in the relative comfort of your garage than out on the trail somewhere. One of the circuits powered by the 7.5 amp fuse is the IG Main Relay coil, so bad things are going to happen if this fuse blows (but you already know that).