This is an old request but thought I would make a comment. I read through some of those evolutionists responses on your twitter. I am not a member of twitter. They seem no different than evolutionists on Christian Forums. The ones with science backgrounds are worse.
Apologetics is effective only if someone has their door open. If they are seeking God, then you can share, otherwise, you are wasting your time. I have resigned from years of attempts that go round and round with these folks. I wrote a 30-page Thesis on refuting Evolution. I got into the mechanics and theory inside and out and still, to this day, I only know two people out of hundreds that were swayed by my apologetics - only because their lives were coming to a end and they had no where else to go.
Faith comes by the Word. Jesus knocks on their doors, if they open it, He will come in and sup; if they do not, if is difficult to make any progress. It is a spiritual defect that prevents them and so God needs to be doing a work in them. Prayer is needed. Even if nothing works at the time, hopefully you planted some seeds to grow at a later time. Evolutionists appear to be in a fixed state. It is an act of rebelling against God and so they latch onto any mindset/theory that disproves God. They don't even have to get into it deeply, they just accept it. And since Darwin, the schools have adopted this teaching and so people absorb it and accept it. Most don't bother challenging it - don't have the time, they just latch on to it. Arguments have been developed for them to use and so they feel more emboldened to challenge the Christian. If they actually looked into the TOE, they would see all the flaws, the guessing, the junk science that is missing the initial conditions. They fill them in and present you with their garbage based on as you said, nothing. It's a house of cards.
Anyways, the last argument I developed against them to stump them had nothing to do with evolution at all. It has to do with the fetus development in the womb. I ask questions of how this process is ordered? I go into the complexity of cells, having thousands of factories producing proteins, amino acids, in a precision way. Actually the process inside the cell is more advanced than anything inside the Shuttle or anything else man has ever created. Does all this happen and get accomplished by blind natural selection or chance? Chance is nothing, it has no power, no will or mind. I ask them, "Do these cells have little brains able to communicate with other cells? Do they instruct the cells to create other cells, fibers, muscles, organs, systems within systems all simultaneously in accordance with the genetic code? Do they actually possess any intelligence or knowledge to be able to decipher these codes and create this incredibly complex fetus?" No! Something must guide this process, it is not some power generated by a willful sperm cell that finesses his way into an egg and has this genius idea to create a human and proceeds to get trillions of cells on board with the plan. No! Cells are guided by the power of God who designed them. Simply put, He knits them together in the womb. The mother does not have a clue about what is going on inside her. Even the most brilliant doctors are baffled by this miracle of life. God combines the genetic material from both parents and makes a unique offspring, yet still different then they are. God orchestrates the whole process inside the womb. After your presentation, let them offer their explanation. They can not.