So you're planning to simply carry on doing what you're doing and expect it to somehow work out.
This won't work. Like I said earlier you need a plan and stick to it. Here is what I developed when I was single, with good success.
You are getting dates, so you have probably created a good profile.
Do a few message exchanges to introduce yourself, find out a little about her (emphasis on just a little), set up a date and leave it. On the day text them to let them know you are excited about meeting them and confirm the time, and no more messaging. You're looking for romance, not a pen pal.
Date 1: Midweek date after work or at lunchtime, just meeting for a drink, not a meal. Not on weekend. If you're attracted you'll know straight away, and so will they. Keep date to about an hour max, even if you both hit it off together. Make your excuses and end the meeting. Part with a kiss if you're feeling confident it or a peck on the cheek if you're nervous. Remember it's a date. If she pushes you away at least you know where you stand and you've both made your intentions clear. No friend zone for you lol!
Don't commit to meeting again at this point and no messages. Give it at least 24 hours and, if you enjoyed the date and want to see them again, message them saying so. It's important to tell them that you like them and want to see them again. Don't ask them, tell them. If they like you, they will tell you.
Date 2: Arrange a weekend date. You know you can devote more time because you know you like each other. A meal, movie, or bowling etc. If you don't want to do what she suggests, tell them and suggest something else. If they are busy on the weekend, tell them you're happy to meet up on another weekend and leave it at that.
If they like you, they'll make time for you and will want to arrange something.
Again, don't be a pen pal. If they like you they will wait for your message.
When you meet for the second date, greet them with a kiss. Be the gentleman but don't fawn over them. Have a good time, maybe tell them a bit more about yourself but don't have any in depth emotional conversations. Don't talk about previous relationships and if they start doing this, stop them. You're there to have a good time and to do this you need to keep it light and have fun. Keep date 2 to about 2-3 hours, end the date, but this time you should be parting with a proper lingering kiss. Oooh!

Remember you are looking for romance and so are they. You've made your intentions clear and if you don't make these moves, you are putting yourself in the friend zone.
Date 3: Ok, things are getting serious. Set up a weekend date but offer to cook for them or get a takeaway at your home, or at theirs. Whichever way you arrange it, if she is coming to yours be clear that you will make sure she gets home safely later that evening. If she is hosting you at her place, assure her that you will be gone by a certain time, 11pm or whatever because you have an important thing to do the following morning, whatever that is. Eat your food, have a great evening with lots of kissing and physical time together but don't have sex and get her home (or leave hers) as you said you would. If she asks you to stay over, tell her maybe next time you meet..
If you get this far you are set. You've both made the effort to spend quality time together, but still have exciting times ahead. You've still got lots to learn about each other, but you know enough to warrant investing more time together. You're not a pushover. She needs to get your agreement on things, but you're reliable and she can trust you.
Date 4: Need I say more?