To blaze abroad is definitely not a currently well-known expression. However, if you look at Webster's entry for blaze and its etymology, it appears clear that the basic meaning is to forge ahead to some place, i.e. sich nach vorn drängen, sich vorankämpfen, ... quickly and conspicuously, perhaps with a torch.
Also, abroad need not mean specifically 'overseas' as it is mostly used today, but rather far and wide out into the land.
1a : to burn brightly the sun blazed overhead
b : to flare up : inflation blazed up
2 : to be conspicuously brilliant or resplendent: fields blazing with flowers
3 : to shoot rapidly and repeatedly —usually used with away
4 : to proceed extremely rapidly : blast blazing down the highway
: to make public or conspicuous
: to lead in some direction or activity blaze new trails in education
History and Etymology for blaze
Middle English blase, from Old English blæse torch; probably akin to Old English bǣl fire
Middle English blasen, from Middle Dutch blāsen to blow; akin to Old High German blāst blast
perhaps from Dutch or Low German bles; akin to Old Norse blesi white stripe on an animal and probably to Old English blæse torch