I would look for any connection that is meaningful, even if you don’t want to honor family. [name]Do[/name] you have a literary hero(ine) that you love? Is a color particularly meaningful to you? [name]Do[/name] you have a faith you’d like to honor? [name]Do[/name] you want to honor your homeland/hometown/home state? Anything like that? I think you could get creative with honoring, too. Having significance in my combos is huge for me, but I grew up hearing that my parents picked [name]Ashley[/name] [name]Marie[/name] “just because it sounds good”. I recently found out that two of my great-aunts have the MN [name]Marie[/name], so that makes me appreciate my name a lot more!
Here’s a few of my combos, and the reasoning behind them, if that gives you any inspiration:
[name]Isabelle[/name] [name]Aurora[/name] [name]Grace[/name]. [name]Grace[/name] is my grandma’s MN. I love [name]Isabelle[/name] for a billion reasons, lol, but the two foremost are that it’s French (my best friend was from [name]France[/name]; she passed away from surgery complications last [name]December[/name]) and that it’s reminiscent of the biblical [name]Elizabeth[/name]. I struggle with moderate depression (have for over 5 years), so the idea of starting over again is very important to me. [name]Aurora[/name] (and its meaning, “dawn”) reminds me of this, and I hope it’ll serve to remind my children that they can always start over again, too, no matter what they’ve done.
[name]Violet[/name] [name]Ophelia[/name] [name]Claire[/name]. Purple is both my and my grandmother’s favorite color, and it also happens to be my other grandmother’s and father’s birthflower. I am a huge [name]Shakespeare[/name] fan… while [name]Ophelia[/name]'s not the best namesake, and I’m not a huge [name]Hamlet[/name] fan, I do really love the name in general and love that it reminds me of [name]Shakespeare[/name]. [name]Claire[/name] is for my dad and brother–it’s meaning is almost identical to their MN, [name]Robert[/name].
[name]Caleb[/name] [name]Elias[/name] [name]Joseph[/name]. [name]Caleb[/name] is for the Biblical character–my favorite Bible character ever.
I love the Biblical Josephs, too, and [name]Joseph[/name] is in honor of my sister ([name]Natalie[/name]). We both have a [name]Christmas[/name] name, so I like that my [name]Christmas[/name] name ([name]Marie[/name]) is after [name]Mary[/name], my sister has [name]Jesus[/name] ([name]Natalie[/name] means “[name]Christ[/name]'s birthday”), and so my son would have [name]Joseph[/name], so we’d be [name]Mary[/name], [name]Joseph[/name], and [name]Jesus[/name].
I like [name]Elias[/name] as it is a form of [name]Elijah[/name], another favorite Bible character. I met a sweet little old man named [name]Elias[/name], though, and I guess it’s not really in honor of him–I just like that it reminds me of his spunk and sweetness, haha.
[name]Everett[/name] [name]Joshua[/name] [name]Charles[/name]. [name]Everett[/name] really has no significance–I like [name]Joshua[/name] because it’s a variant of [name]Jesus[/name], who I definitely would love to honor! And [name]Charles[/name] is for my mom. She always wanted a little boy named [name]Charles[/name], nn [name]Charlie[/name], and I’d like to give her a little [name]Charlie[/name]. 
[name]Jack[/name] [name]August[/name] [name]Cole[/name]. [name]Jack[/name] is for my grandpa, dad and brother (they’re all Johns; my grandpa went by [name]Jack[/name]). [name]August[/name] is in honor of a character on a TV show I love (sounds cheesy and pathetic, I know! Let me explain, haha). On the show, he’s this blind soldier/spy who just takes his handicap in stride, and is so positive and strong. I think it’s a great reminder to my children to treat everyone with respect (especially the handicapped!), and to always make the best of their situation.
[name]Helena[/name] [name]Beatrix[/name] _____. This is a new addition to my list (hence, the lack of second MN!). I like the Biblical associations to the meaning of [name]Helena[/name] ([name]Isaiah[/name] 42:3 and [name]Matthew[/name] 5:13-16), and I like that [name]Beatrix[/name], in a way, honors my grandfather (who was only L. B.–no full name, just two initials).
Anyway. [name]Just[/name] a few ideas. 
Good luck!