Not sure how many 9 hole courses there are in the UK. Royal Worlington and Newmarket is the best and by far the most famous.
While not in the class of RW&N, the old course at Leckford is one of the best.
Downland golf doesn't get much mention here, other than Crystal Downs. In England downland is high terrain, usually on chalk soil, with thorny scrub as it's primary foliage (hawthorn).
The strength of Leckford is in the terrain and greens...there are a couple of holes along natural, shallow valleys. There's a great knob to knob par 3. A big swinging par 5 with a strong sideways slope. A green tucked away in a little hollow. A couple of tricky and tiny raised greens. A dropping par 3 to an island green (surrounded by bunkers). And an up and down rollercoaster hole.
The best hole, the par 3 3rd.
Hole routed along a shallow valley, with diagonal bunkers that create the options. 2nd.
Looking back down the 2nd hole. Nice green.
Sweeping dogleg 4th. Bite off as much as you dare.
From the bunker cluster. The green is perched, but I don't have a pic.
The tee shot a 5 is not demanding, but the short approach is!
Gently downhill to the sunken green at the 6th.
Side on view of the green.
Like the 5th, the tee shot isn't demanding but the pitch is. Tiny green.
Roller coaster 8th. I think there's a filled bunker just at the ideal landing point.
I didn't get pics of the 1st and 9th. But they were fine holes too, particularly the dropping 9th.