Let me give you some advice because I am a mom of a child who had a child impediment too. He is 16 now, so I have the benefit of having gone through a lot of experience having a child with special needs.
It is January. You have started a new deductible year. Get the speech therapy. Use a therapist who has a good amount of experience. Sit in or watch through a 2 way mirror during all the lessons. Work hard on your home program - twice a day. Be 100% consistent at home in what the therapist tells you to do to help your child learn to TRY to communicate with you so that he is not so frustrated.
I will tell you that my son had 60 words - 3 times as many as your son, at 24 months old. I had a team evaluate him. It was a sinking feeling for me, M., when I "caught" what was happening (and my husband did too). They stopped talking, "looked" at each other at a critical point in working with him, and I realized that my little guy had a real problem. I mean, I KNEW there was a problem, but this kind of shook me.
Sure enough, a few hours later when they came to us, they told me if I waited until he was 3 to have the school work with him, he may never have normal speech. They told me that we needed to get him help NOW.
We bit the bullet and paid ourselves. That started in May. In October my son said his first real sentence in the car while we were driving. I cried. It meant so much. Truthfully, the small little victories at first made such a difference in helping him with his frustration. The words "help me" (the therapist taught him to say 'ep me because the "l" sound is too hard) made a big difference in him realizing that I knew what he was saying. Even the word "wah-wah" when he wanted water was a blessing.
Speech is hard work. Sometimes kids don't want to do it. The thing is, if you start now, they are more pliable and fight it less.
Early intervention is one of the most precious things you can give your child. I had no idea when I embarked on this with my son, where we would end up. There were problems that I had to face with him that I never would have imagined - including the fact that he has a hidden submucous cleft palate, the reason for his speech problems. We didn't know when we started. If we had not gotten help for his speech, waiting would have done NOTHING but delay him longer. That evaluation team was certainly right, even not knowing about the cleft.
I promise you that by getting speech help for your child now, your lives will be easier overall. Drop whatever non-necessary expenses you can in order to afford this. Research what you read in the evaluations so that you learn about your son's issues. You are your child's best advocate and no one will help him as much as you. My research about my son's unusual speech pattern (velopharyngeal insufficiency) led me to find medical providers who were willing to give him diagnostic testing that led to finding his cleft. (He was 4 when we found the cleft.) If I hadn't done this, we may have missed this and I might have allowed a surgeon who wanted to remove his adenoids to have his way. It turned out that it would have been the worse thing that I could have allowed to happen to my son - it would have made his problem permanently worse.
I hope I am making sense here. The point is, please don't delay. Working with your son now may prevent real problems later. The sooner the better.
All my best,
Dawn