One thing I can definitely see is a very career focused woman dating Data because she's looking for all technique and no commitment, but I doubt that's what OP is looking for. 
Also a woman who's been abused might consider Data as a man she is 100% sure will never abuse her, but again, not what OP is looking for.
Yeah, Data maintains a friendship with Geordi but Geordi's a low maintenance buddy. To be Geordi's friend you just have to not be an asshole and not mind very technical discussions in your social time. And if Geordi decided tomorrow he didn't want to hang around Data anymore, he wouldn't be hurt, he'd just quietly accept his decision.
Vulcans have emotions and can be empathetic, they just choose not to act on those emotions most of the time. Without the emotion chip all he can really do is mimic expected behavior, he can't really understand. With the emotion chip I think he can have a real relationship because he can form a real emotional attachment with a woman and get hurt. Just it'd have to be a really understanding woman who understands the learning curve he has and can bear with it.

Also a woman who's been abused might consider Data as a man she is 100% sure will never abuse her, but again, not what OP is looking for.
Yeah, Data maintains a friendship with Geordi but Geordi's a low maintenance buddy. To be Geordi's friend you just have to not be an asshole and not mind very technical discussions in your social time. And if Geordi decided tomorrow he didn't want to hang around Data anymore, he wouldn't be hurt, he'd just quietly accept his decision.
Vulcans have emotions and can be empathetic, they just choose not to act on those emotions most of the time. Without the emotion chip all he can really do is mimic expected behavior, he can't really understand. With the emotion chip I think he can have a real relationship because he can form a real emotional attachment with a woman and get hurt. Just it'd have to be a really understanding woman who understands the learning curve he has and can bear with it.