Hi Lucie
It is a difficult question to answer. You need to identify what your primary driver is:
If it is just wanting to measure minor and trace elements then I would put money towards an excimer laser ablation unit with ICP-MS, which would be much cheaper than a microprobe.
If it is a lot of major/minor elements with sometimes trace elements, then I would get a microprobe.
If it is predominantly imaging with perhaps sometimes trying to quant major-minor elements then you could go perhaps go down the route of SEM with really good EDS and try some quant EDS with standards, or FEG-EPMA but sounds like the money wouldnt permit that. I am not sure what your samples might be, but many major elements can be quantified quite well these days with standardised EDS. There are still (and always are) exceptions to this though.
Obviously many trace elements can be done via EPMA with careful setup and analysis. However if spatial resolution isn't an issue, if it isn't metal/steel samples you want to quantify elements in, and if you have the standards, many low level elements are done much simpler with much better detection limits via LA-ICPMS. Bear in mind that quantification of LA-ICPMS data requires the input of the concentration of one major element that is present in your sample. Sometimes this can be stoichiometric, sometimes it has to be measured by another technique (such as EPMA...).
Cheers