Choking Up on Standard Clubs...

I'm a recreational golfer with a relatively inexpensive set of standard clubs. I'm 5'6". And even so, I hold my hands pretty low to the ground at address...

So, perhaps needless to say, if I hold the grip normally, the toe points towards the sky, making it more difficult to make pure contact and groove a proper swing. Furthermore, the longer clubs are just hard for a short guy like me to wield.

So I've been choking up on most clubs, I'd say 8-iron and longer. Is this acceptable? I do feel more in control when I do so, and the clubhead seems to provide a better lie at address for me.

I do worry about shot consistency, as I may wind up gripping any given club at a different place every time. Also, since the grip on the club itself becomes effectively smaller (less diameter), that may cause proper face squaring issues.

I guess another way to ask about my concerns is: Should I just choke up? Or is it worth it to get my relatively cruddy clubs fitted [even though I do like my clubs, a lot].

When going through the fitting process they measure the distance of your wrist to the floor, then there is a table of recommended driver and 5 iron lengths.  Knowing these measurements you figure out how long the other clubs should be.  It is standard to have a 1/2" difference in length between each subsequent club.  For example a 2W is 1/2" shorter than a Driver, a 6 iron is 1/2" shorter than a 5 iron.  If you tell me what your wrist to floor measurement is, I can look up the recommended Driver and 5 iron lengths.

This is from Golfsmith's Basics of Clubmaking book.