So I've had my Coelogyne for - nearly 3 years I think - and it doesn't seem too happy to flower. It was small when I got it, grew additional pseudobulbs since I got it; even after repotting last year, but still.

Now the real problem: the pseudobulbs are shriveling to the point of almost dying I think. I keep it in the kitchen on top of the fridge (no direct sun and quite cool). It's still winter here so I've kept it quite dry (just like previous years), watering/misting the roots once every few weeks. But as I said the pseudo's don't look good atm and the 'new' roots (from the latest growth) are dead-like to me too; they grow fine for a while and then the tip blackens and they stop growing. I've watered today and yesterday and no improvement or swelling so far.

What to do?

Do you happen to know which Coelogyne (species ?) this is?

Pandurata

I do not grow that type of orchid, but one thing I have learned, although I need to keep some orchids drier in winter, got to help it get more light access and kept comfortably warm, like still along the range of 65F to 70F at least.

I thought that you mentioned the name before, but looking at your pictures I wasn't sure.
I don't have Coel. pandurata but Burfordiense, which is a hybrid of asperata x pandurata and the plant looks pretty much the same. ( most panduratas sold are actually Burfordiense) Now I keep mine fairly warm/minimum 60 degr F ramping up to 70 degr F in the greenhouse during the indoor season and I never let it dry out. I water daily under my conditions. Those pseudobulbs need to look a lot fatter and the leaves will grow quite large. This will be a substantial plant! Light is bright, but not Cattleya bright. I have mine on the second tier in the greenhouse, not under the glass ceiling, but underneath the shelves holding the Catts.

Guess I'll have to water it more often then

Yes!
Also, if you google the species, this one wants it really warm.

http://www.orchidspecies.com/c...

Container is way too large!
I rescued a couple of Coelogyne in my collection and they were essentially rootless and ugly.
I put them in small plastic pots with long fibered sphagnum moss. Keep them bright but in only an hour or so of early morning sun.
Coelogyne pandurata to my knowledge has four inch rounded and slightly tapered pseudobulbs, leaves 5-7 inches long by 2-2 1/2 inches wide.
A more slender bulbed Coelogyne might be mossiae or gardneriana. Never let the sphagnum go bone dry but don't keep them sopping wet either.