Limit raise or GF?

Another bad bid, made without first pausing for thought.
1S:2H
4H

Sounds easy? I have 10+ points and 5 hearts, my partner is happy to play 4H
Wrong

I held:

Qxxx
Axxx
xx
AJx

and decided I was too good for a limit raise and not good enough for a game force.
Apparently, there is no such hand . A limit raise is 9-(bad)12 3or4 card support and a gf is 12points 4card support. Makes sense!

So this is a clear limit raise 3S would have been perfect or if I think this is worth more, 2nt GF raise. I have been told many times not to make a 2level M raise without 5cards, I have the choice of a limit raise or a GF, no need to create my own bid!