The threads in the block are 5/8"-18 I don't think they cross to a BSP size, or at least I haven't found the right fitting.
5/8"-18 is a somewhat common power steering thread size. They make an
adapter to go to -06 JIC / AN hose. -06 hose is on the small size for feeding most oil coolers but it can be adapted. It is 3/8" ID so it is slightly larger than the factory 3/8" OD tubing from the banjo to the filter, but it isn't a straight shot to the filter anymore so there is more restriction in the hose and fittings. I like to run -08 hose, 1/2" ID, so I made my own adapter, or actually two.
For the first one I drilled out a -08 AN plug 3/8" and brazed it to the 3/8" banjo line (very similar to steel brake line). Since the "new plug" and hose will but a lot of stress on that 3/8" line I kept it as short as possible. This worked well and I am still using it on one car, but it doesn't look as clean as I would like. The next one was a 5/8-18 bolt with the center drilled out to 1/2" and a steel -08 fitting welded to it.
As you said, the filter head is 1/4" NPT.
As for the cooler, we'd need to see it since there are many different one out there. As mentioned previously, bringing it to a store that makes hydraulic hoses is probubly your best bet.