Probably amp but your speakers can't take a lot more than 100 watts anyway.
A small two way is not ideal for big band. For example yours has only a 1.5" voice coil for the woofer....which is only a half inch bigger than most tweeters - typical of small two ways but as you can imagine it will get hot very quickly at modest levels and the heat will cause thermal compression making it sound dull when approaching realistic big band levels. This is quite normal for small two ways - so don't push it - i don't think a bigger amp will completely help in your case - so be careful spending a lot of money on a big tube amp until you are sure your speakers can take it. (Borrow an amp first)
A small two way is not ideal for big band. For example yours has only a 1.5" voice coil for the woofer....which is only a half inch bigger than most tweeters - typical of small two ways but as you can imagine it will get hot very quickly at modest levels and the heat will cause thermal compression making it sound dull when approaching realistic big band levels. This is quite normal for small two ways - so don't push it - i don't think a bigger amp will completely help in your case - so be careful spending a lot of money on a big tube amp until you are sure your speakers can take it. (Borrow an amp first)