Could "shoganai" ever be offensive?

If I ask a hotel or store employee if they speak English and they don't, then I say "shoganai" with a smile to imply "Ah, that's okay," could it actually come across as offensive? I don't want to imply that I expect them to speak English and that they've failed in some way. I just want convey "Just thought I'd try, but don't worry about it."

I think "wakarimashita" would be better, just to say "I got it/I understand." I would avoid using "shoganai" in that situation.

While "shoganai" can mean a neutral resignation "that's ok (since it cannot be helped)" and that you are making the best of the situation, it can also be interpreted to mean "ohhh that's too bad (you should be better equipped)" or "ohhh well, that can't be helped" in a bit mocking way, so I would avoid it.

"shoganai" implies that you (the speaker) have been frustrated.
do not use that word, if you want to be a polite person.

Thanks! I'm glad I asked before my trip. In addition to "Wakarimashita," would "Daijoubu desu" also be an acceptable way to say "That's okay, don't worry about it"?

Could just say thanks and nod your head in understanding.

Whenever I greet someone, I always say "hello" and "konichiwa." Since I'm caucasian, they'll answer the best language they can since I've given them two options.