I tend to see nothing but failure stories from people who try to show their mate TTATT sneakily. I mean, really, your husband would have to be pretty dumb not to notice you hinting more and more at various issues you have with the religion. I think JWs are, because of the precarious nature of their beliefs, exceptionally well-attuned to any challenges to their beliefs, and adept at avoiding said challenges like the plague.
I can't say that I have any personal experience on this front, but my inclination would be to just speak honestly to my mate and tell them that I'm having a lot of doubts... serious doubts. And wait to see if my mate wants to discuss them. Because beating around the bush makes something look suspicious, when really if you know you're in the right morally, you should be unashamed to let him know what you think.
That doesn't mean forcing nuggets of TTATT on him. Rather you should set a plan for yourself and inform him of it, e.g. telling him that you will not be attending as many meetings, or staying home altogether, or only attending or going in service when he wants the support, etc. That way it's about you, and not about putting pressure on him to agree with you. Because ultimately you can't make someone want TTATT; you can only open a door for them to walk through, or not.
He might freak out at first, or be taken aback at least, but after he's had time to process that, perhaps he will be willing to sit down and have a conversation about your doubts. Keep in mind, though, that just because something is convincing to you, that doesn't mean it will have the same effect on him. If he really wants to keep believing for some deep-seated emotional reason, then he will come up with a way to brush off that concern, perhaps after reading something in the WT Library that addresses it on a surface level.
So, in a nutshell, I would say honesty and compassion for your husband's feelings would be the best course. But I don't have a mate, so I haven't been through this situation.