Re: HELP!! Does she like me?
How you handle this really depends on what you want from it.
If you see this girl as a potential LTR then you should tell her that it makes you uncomfortable hearing about the other guys. However, be prepared to explain why. And don't try and bs your way out of it. Everyone knows that when that sort of thing makes you feel uncomfortable it's because of feelings.
If she's more of a FWB, then I'd keep quiet. Keep doing what you're doing, just brushing it off and changing the subject. The only catch is that eventually you will need to be honest with her about your feelings.
The fact that she keeps mentioning the other guys could very well be to try and get a reaction from you. If she's doing it because she has feelings for you and you keep brushing it off like it doesn't bother you, it will upset her and ulitmately can ruin your relationship (friends or otherwise).
Now, because her long term boyfriend recently died, that only makes the situation trickier. What happened on the last night you were with her is something that she's going through daily. She's most likely still hurting from the loss and is afraid of being hurt again. A relationship ending due to a death is much different than one ending because someone simply ended it. There is never any closure and you are always left wondering why or what if. One thing you need to be sure not to do is ever bring up her boyfriend. If she brings him up, find something to transition to a new topic with. If you begin a committed relationship with her, then if she wants to open up about him that's different and more acceptable. However, for now, try and avoid that topic.
Bottom line, I think it would be best for you to stay FWB and just kind of brush of the comments about other guys for now. Because of logistical reasons, it would be difficult to maintain a relationship. Obviously there are long distance relationships that work but they don't begin as long distance.
You are the prize. She needs to earn it.