Demineralised water can be de-ionised water since most dissolved minerals are present in solution as ions. In industry large boilers tend to use de-ionised water. Before university I worked at a chemical plant on Teeside where they used de-ionised water through the boiler, two large tanks of ion exchange resin, probably 15ft high and 10ft wide, one for cation and one for anion exchage. I remember testing the boiler water for oxygen levels usually zero, and also hydrazine levels - of there was any present then the oxygen level should be zero as it usually was.
Rainwater is likely to have a fairy low level of mineral content depending on what it is collected from, but can have quite high levels of organic matter (think moss etc on roofs along with bird poo etc.) I would expect most organic matter could be removed with an activated carbon filter.
This gives a fuller explanation:
https://blog.veoliawatertechnologies.co.uk/what-is-deionised-waterYou can buy deionised water in various quantities, from about £2 for 5L upwards, £175 for 1000L IBC for example.
Maybe the simplest way forward is to test some samples on a window (or windows) and see which are acceptable, try tap water (are you in a soft or hard water area?), some purchased de-ionised water (5L), and the results of using an activated carbon filter - if need be, use a Britta type jug filter (should be good for maybe 100L depending on your water).