Back to the OP's question...

The overdub capability is what is at cross-purposes with the title of the post. Overdubbing is a recording session activity, in my opinion. When you get into overdubbing at a practice, lots of people sit around doing nothing while the dub is happening. If your band is cool with that, then skip what I write below.

Practice sessions are something entirely different. Any of the handheld digital stereo recorders work well for practice session recording. I have a Zoom H1 that does just fine for this with pretty danged decent recordings. I got it for $40 on Facebook marketplace used and bought a 64 GB card for it.

I am an iOS user since 2012. I have a BLUE Mikey for the old style apple connector. I never used it as much as I have used the H1. Why? Apple's darned insistence on keeping RAM at a high price point by not including expandable memory in their iOS devices. Also, the stereo separation on the Mikey leaves a little to be desired by comparison to the Zoom.

I would shop for any stereo digital handheld recorder that lets you use SD or MicroSD cards for expanding memory, has legit condenser mics built in with a real x-y pattern capability at minimum, and you will be all set. Used market can save you LOTS of money.

Edited to add this note:
One thing that H1 users seem to crow about and I have to add in my +1; the H1 has a BIG record button. You don't fart around navigating menu or a bunch of buttons. It's a RECORDER, and the biggest button on it is the RECORD button. This has come in handy when you just reach over and punch that sucker without really looking.

I can't speak about other digital handheld recorders. I got this one cheap, with 2 windscreens, but I do like that single record button for nearly instant on recording. you can tweak all of the recording parameters if you like, file size and type, set record levels, but if you just need to turn something on and record, this thing is about as easy as it gets.

Last edited by rockstar_not; 09/05/18 04:56 PM.
My Songs, photos, writing,etc.
My Sound Cloud