Heavy metals analysis of Gypsum minerals

From others experience is there a way of firstly fully digesting mineral samples like gypsum that contain silica without the use of HF?
And if there isn't what analytical techniques may encompass the following elements and the lower limits of quantification we require;

As(1ppm), Be(0.1ppm), Cd(0.1ppm), Co(0.5ppm), Cr(5ppm), Cu(5ppm), Hg(0.1ppm), Mn(50ppm), Ni(5ppm), Pb(10ppm), Se(10ppm), Tl(0.1ppm), V(3ppm) and Zn(20ppm).

Currently we use a combination of XRF pressed pellet and GFAAS solid sample analysis. This however is very time consuming and as a result costly.

ICP-MS would seem an obvious choice if the sample can be fully digested (minus volatiles if method of preparation is to hot).

But, are there any other alternatives?

Any advice greatly appreciated.

Kind regards

Gypsum Chem

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I personally have never run mineral samples I only do drinking water, but I know the local university just got a new ICP-MS with a Laser ablation introduction system for there Geology department.  This may be something to look into so you can skip digestion.

LA is useless in this case, the reproducibility will be very poor.

If you want to dissolve gypsum and don't want to use HF, the best way is to use an alkaline fusion, however, you'll loose Se, As and Hg in the process...