Can I enter the UK visa-free after being refused a visitor visa? [closed]

I had flown to the UK, without problems, in October 2016, to stay for a month with the person I am dating. I left and I tried to enter on November 30th. I was refused at the border for having a one-way ticket, and for carrying hairstylist shears in my suitcase. Border control thought that I was seeking employment in the UK, and said that they weren't satisfied that I had any ties to the US. This is both false and ridiculous.

I returned in December and, this time, I brought with me a ton of documents supporting the reasons I was there, where I was staying, financial support, etc., and they let me in. I was in the UK from December to the end of January 2017. When I got home, I thought it would be a better idea to apply for a visitors visa, so I applied and I just heard back today that I was refused.

Can I travel to the UK with supporting documents after being refused a visa? What are my options?

I'm so scared to be refused again, I just want to be in the UK to be with the person I love.