You absolutely can get that lens clean and keep it scratch free. I would grab Altura Photo cleaning kit since it gives you an alcohol free lens spray and a solid hand blower, which is exactly what you need to lift grit before you ever touch the glass and then clear stubborn smudges without streaks.
Here is a quick routine that protects the coating and avoids scratches. - Start with the blower to remove loose dust and sand. Avoid canned air. - Lightly sweep with the soft brush to lift anything left. - Put one or two drops of cleaner on a clean microfiber or lens tissue. Do not spray the lens. Wipe from center outward in slow spirals. Finish with a dry area of the cloth. - For fingerprints that fight back, use the lens pen tip with tiny circles, then a final pass with the microfiber.
A few travel tips that help a lot. Keep the lens cap on between shots. Consider a cheap UV or clear protective filter as a sacrificial layer. Store your microfiber in a small zip bag and wash it without fabric softener. Never wipe the lens dry or with a T shirt.
Do this only when needed and that DSLR will be ready for many more firsts and Grand Canyon dust storms.
Solid plan. One tweak: use a lens hood as your everyday protection and save a clear/UV filter for blowing sand or salt spray since extra glass can add flare and collect dust. Keep the brush capped and shake it out or wash it so you’re not grinding trapped grit into the coating and and retire microfibers once they feel slick or leave lint. For stubborn oily prints, a single-use lens wipe or a couple drops of cleaner on fresh lens tissue followed by a dry spiral pass will clear it without streaks.