Alternative to reception announcement

We didn't do anything like that. We just sort of came in. I was worried it might be strange but it 100% wasn't. We just took our pictures and then came inside. It might have been different if the ceremony and reception had been in different locations so if that's the case for you I don't know if that would work but with them in the same location it worked great for us. Heck, the guests were milling around watching us take pictures anyhow so it actually would have seemed odd to have an intro with how our wedding worked but each set up is different.

It's fine to just have them announce you and FH. We didn't do parents at all (mine are shy, his are divorced and have similar issues).

I think you have the right idea - just have the BP and parents enter the reception room with everyone else. They can gather on the dance floor (or not) and the DJ can just announce the two of you. Whatever happens, both of your spouse's parents should be announced. Talk to your DJ and see if he/she has any suggestions, they deal with things like this all the time.

Our grandmother and parents were not announced. In my family/social circle they almost never announce them. Smaller weddings usually have no introductions/announcements. Do what you're comfortable with.