I think it’s Participial phrase
because participial phrases have past tense or present words, and in this question it has the word “had” and “hoped” and those are both past tense.
Sorry if I am wrong but i think it just seems like that’s what it could be.
Slogan can be anything, just make sure it's simple and catchy, for example :
- Push the Limits
- Livin' the Roads
- Crossing Boundaries
Etc
I think it would be answer 1