PCB Milling reccomendations

[PEU]

Good morning CNCUK members,

I am looking for some recommendations for a "budget" machine, firstly I will explain what it is I intend to use it for and hopefully someone will be able to guide me as to what will be suitable.

My line of work has led us to explore the possibilities of milling through a PCB (Printed circuit board) in order to access an hopefully undamaged EMMC chip from a mobile phone/tablet.
Our current method is to point a hot air gun at the chip until the solder balls underneath melt and the chip comes loose, we then have to "clean" the chip by scraping the remaining solder flat from the chip under a microscope. As you can imagine, the initial heating and scraping can damage the chip so we are hoping that milling through the board to the chip will provide a much more consistent method.

requirements:
anything milled will likely be smaller than an a5 piece of paper.
I believe we would also like to use the machine for other applications (4 axis if possible?)
materials to mill - Metal, PCB, plastic
precision/ depth accuracy - extremely important
Budget - £1500 inc shipping

I understand our budget is really quite low and I have attempted to do a fair amount of research but I am worried to order one of the £1200 milling machines from china just for it to be useless for us...

If there is anyone interested in what I have described and already own a milling machine that may fit the criteria and wouldn't mind having a visitor or two to test the theory, that would be extremely beneficial to us. (south of the UK/ Hampshire)

Thank you for taking the time to read and respond.

Edit* We want to mill through the PCB to expose an undamaged chip.