Jake - You're still with us. That's good.
(I'm gonna look at minivans driven by a man in a whole new way, now. Gee, thanks!)
You aren't whining here. It can take a lot of courage to post to the world about your relationship, leaving yourself vulnerable to attack or taking of sides. I applaud you for being here instead of out in the van.
If your wife thinks you are whining and being a woman I'd say I was probably pretty close in my previous post to how she's feeling. She's listening to and meeting the needs of the kids all day, and then hearing more "do this for me, do this for me" from you at night. It very well may not be just about being exhausted, it sounds like it really is about feeling eaten up with everyone elses needs.
Re you "being a woman," when does she get to be a woman? She has to be strong, take the lead, be the chief executive all day "manning" the house. Just when she thinks she can hit the links like other CEO's, the controlling stockholder shows up demanding an emergency meeting.
You say you've tried the things suggested, but as we know in the corporate world, there's a lot of politics going on. When you try to kiss her and she pulls away, it may be because she knows where you're trying to lead her. Sending flowers, taking her to dinner, being sickeningly sweet? She's probably picking up on those things being manipulative towards... yep, meeting YOUR needs.
Sorry, but you're gonna have to be sincere. Can she go to her Mom or sisters house for a week? I'd make arrangements for her to get away alone if at all possible. Or, if you get away together take a book with you. Pretend she's just a friend. Let her have her space without feeling in any way like it's supposed to be a romantic getaway for YOU to get sex.
If you can't arrange for her to have some space, start walking in from work and taking charge of the house for her. Tell her to go to her room, take a bath, read or whatever and that you are gonna feed, bath and put the kids to bed. When you are finished with the kids and have cleaned up the kitchen, watch tv or come post here and let her have the bedroom. The next night, send her out with a girlfriend, to a movie or whatever suits her fancy. When she gets home, ask if she enjoyed herself. Kiss her on the forehead, and go to bed. The next night come up with something else that you know she would like to do.
Let her know she's a woman that you love, respect, appreciate and admire NOT for what she does for you and the kids, but for who she is inside. My guess is that when she starts feeling like a woman, she'll find her romantic side again. But, only if you are sincere. We tend to know the difference. Hence, what Drewdad and others said about being intimate without having sex. If she's picking up on an expectation of sex for you at the end of the intimacy, it may feel manipulative.
(Please don't take this as a "bad guy, good woman" post. I'm just letting you know what may be going on in her mind so that if you are inclined to try to save your marriage you at least have an idea of where to start. As someone else mentioned, you are the one here seeking advice, so these are suggestions for what you can do only because we can't address her.)