Slightly over budget and a bit of a mismatch, but how about - JBL and one of these?
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Anything PA will prob be compromised in the bottom end as the smaller 12+ horn or 15+horn are not much use below 60-70hz and usually partnered with subs.
Buy these now. https://www.ebay.co.uk/itm/Tannoy-Sa...EAAOSw1iNbBSvY
Plenty of bottom end for your room, great stereo and versatile enough for if your music tastes expand.
And add a decent 100w/ch amp and you are good to go..
If you want to do this on a shoestring, just get a pair of Wharfedale Dovedale III speakers and drive them with a Denon PMA-350SE amp. It'll work fine and give a decent enough sound with plenty of punchy bass. All second hand obviously and probably cost a total of no more than £150! And it'll be reliable.
I have an Ion obelisk 3x and x-pak 1 and some absolutely beautiful pmc FB1’s , all under budget and the active meridians too .
https://uploads.tapatalk-cdn.com/201...79bb33a7fa.jpghttps://uploads.tapatalk-cdn.com/201...4ff011ead7.jpghttps://uploads.tapatalk-cdn.com/201...418cb1021.heic
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fancied the obelisk myself.. good amp