I know some girls who've had trouble, or have dated men but lost them after the men found out that they were TS. Although, I've also ran into some who have found a guy who knows and is comfortable with it. I think it depends on the type of guy you are looking for.
Being social is a good idea -- but also being social in what you like. If you're not into clubs/bars, you probably won't enjoy yourself and the men you do find will be bar guys who do the rounds in the bars. Bar stars aren't usually good to date. You might find someone there, but if it's not in your social circle than it could be more of difficult relationship. Not everyone is into the bar/club scene and it's not always the best way to meet someone.
I've known people who've found different clubs that interested them. Years ago I knew of someone years ago who found someone through a club called Toastmasters. You might want to check that out, actually. They are in almost every city.
I've known people who've joined book reading clubs at the library, or writing clubs, or art. Sometimes people take part-time classes. There's a lot of ways to be social outside of the bar, and if you're doing something you enjoy, at least you enjoy yourself and you have a better chance of meeting someone who like similar things.
You never know with guys if they'll accept the TS or not. Although, I find the big macho bar guys who sleep with almost any woman in the bar have a harder time, vs the smarter ones that are quieter and have a brain and confidence.
