They should both fit the Tremonti SE, all you need is 10mm holes right through the headstock like you have for Sperzels (some tuners are 13/32" or 25/64", but basically that's 10mm).
You'll probably need to drill new holes for the fixing screws, either way.
No idea what the biggest string gauge would be, but the Planet Waves have built-in string cutters which struggle a bit with a 0.046", I don't know how they'd cope with 0.056" or heavier!