First and foremost, after being a faithful Catholic woman, I am a single parent. As wonderful as it would be to simply go out on dates with men who have a more secular bent to them....in the hopes of having conversations that might give me insight as to why they don't believe in God or our church's teachings.......wait, I've already (been there) done that. (I've gone the secular dating route, the non-Catholic but Christian route, the lax-Catholic route, and I know without a doubt that God doesn't want me compromising my faith, or my time, dating in those realms again).
And with much prayer, God has shown me that He really can provide a strong, faithful practicing Catholic man....ready to go. He's just not let me in on the timing of it all.
Just know Sam, I'm quite a bit older than you and I've been on A LOT of nonsensical dates. It can be downright scary out there.
God has my back on this dating stuff. I know He doesn't want me going out with men who will challenge my faith ( and THAT is exactly what happened 100% of the time when I dated non-practicing Catholics and non-Catholics). God knows my emotional energy is better spent elsewhere....like spending time being the spiritual leader of my family, and keeping my teens on track so I can send 3 faithful, practicing Catholics out into the world to be warriors for Christ vs. choosing to go on a date with someone I know has issues with my faith.
I've asked God for more time in my day (like maybe 30 hours a day), but so far, he's not given me that. So until I get more hours in a day, where I could then possibly have the energy to work full-time, lead my teens, AND evangelize on dates, I will stick with not sitting through dates having to be like the Karate Kid (wax on, wax off) as it pertains to my faith (and holding my ground in matters of 'expressing affection' which is something that tends to go hand and hand with men who have a weaker faith walk).
As for evangelizing.....that should always be in our forefront. We are called to be Christ's hands and feet, at all times. But for a woman to combine that with actually dating someone.....well, at least at this time in my life, I know that is not what God has planned for me.
But as I said, knowing the man is supposed to be the spiritual leader of his family, I do see how it would work for a gent like you to date a Catholic lady who isn't fully practicing, in hopes of converting her to become a strong, faithful Catholic.