This app was mentioned in 2 comments, with an average of 2.50 upvotes
Is it specifically Bluetooth LE in App inventor, or just listed as Bluetooth? They way they are handled is quite different.
Check out this project: https://github.com/jmgjmg/MSMBle or download it from https://play.google.com/store/apps/details?id=com.tumaku.msmble It should be the last service listed and then an input box for your AT commands will pop up. You'll have to change to mode 2 to enable sending AT commands over wireless... oh. That might be a secondary issue you're having.
I've been working to some serious additions to read/write the pins on the HM-10. It is a pretty slick chip and has actually removed the arduino from my wireless equation altogether. App + module for the win. As far as the HM-10 vs. the HC-10, I believe them to be functionally equivalent. Feel free to hit me back if you have any further questions or if you want to check out my enhancements.
What are you trying to connect with? I think this is the one I had success with https://play.google.com/store/apps/details?id=com.tumaku.msmble