The power / volume relationship is logarithmic I belive. To double the volume you need 10 times the power, so to double your output you'd need a 50w head.
The clean headroom is also going to be governed by the power of the head, which is why blues players use 200w heads where a rock / metal player would use a 100w or a 50w. The valves will also impact this, if you use low gain tubes you'll get more clean headroom at the expense of gain.
As to the TT, it's not great at clean, it can do it at bedroom levels, but it will start to break up quite soon above that, so for gig levels it won't be clean. I love it, but it's just not designed for clean work.
I have a Peavey ValveKing 112 combo, and it has a clean channel which was quite impressive, and I've changed the valves to low gain and slightly brighter, now it has a really nice clean sound, but the lead channel isn't worth that much, it's ok, but the TT kicks it's ass in that department now, but I knew that when I changed the valves.
Shop around, try a few amps, if you are on friendly terms with any shop owners see if you can 'try before you buy'. I've always found playing in a shop is never a good reference, my purchases have always sounded much better once in my lounge, thats a nice bonus but it maks comparrison difficult.