Grand Prix 250
Main Motorcycle: 2002 Speed Triple 'CE'
Join Date: Feb 2003
Other Motorcycle: 2003 KTM 200EXC
I have a '95 Daytona 900, which is fairly similar to your 1000. I never had trouble starting hot when my valve clearances were out, I had trouble starting cold. Once it did start, it would start again when warm with no problem. Several years back I was having more and more problems starting cold, until I adjusted the valve clearances. I keep better track of it now, so I don't have the problem.
From what you described, I don't think it's valves. I'd agree with the coils. If you've never replaced them, it would fit the symptoms.
As for leaking fuel when removing the tank while the engine is warm - I wouldn't worry too much. Have a rag handy, put it under the petcock, and remove the lines as normal. You could also set the tank up on some sawhorses and boards, lengthen the fuel line, and start it up with the tank over to one side of the bike. I do that when I synchronize my carbs. Let it warm up, and measure your coils again.
I'm just about to replace the coils on my '95, and I'm going with Nology coils and wires. Much cheaper than OEM from Triumph, and from what I've read, much more reliable.