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The BK amp does look nice if a bit expensive.
You should probably go with a ported box. You have a large space, a limited budget, sensitive large mains, and a limited amount of power (500w). Sealed subs can be great but they are not efficient, sometimes require EQ and require very large amounts of power and driver excursion to do the low bass right. A ported cab will give you higher efficiency and make better use out of xmax limited drivers and moderate power with the tradeoff of a much bigger enclosure and the need for HPF's.
I noticed a pair of Eminence Kilomax 18's for 350 shipped on UK Ebay. Is this out of your range? There were also some Infinity Reference 12" drivers for about 55 ea and some JBL GT5-12's for about the same. You could get 4 of either of those and wire all of them to 4ohms. A pair of the RE SE15's or the Tempest 15's would be good as well. After you pick some drivers we can help you with the enclosure for them.
You should probably go with a ported box. You have a large space, a limited budget, sensitive large mains, and a limited amount of power (500w). Sealed subs can be great but they are not efficient, sometimes require EQ and require very large amounts of power and driver excursion to do the low bass right. A ported cab will give you higher efficiency and make better use out of xmax limited drivers and moderate power with the tradeoff of a much bigger enclosure and the need for HPF's.
I noticed a pair of Eminence Kilomax 18's for 350 shipped on UK Ebay. Is this out of your range? There were also some Infinity Reference 12" drivers for about 55 ea and some JBL GT5-12's for about the same. You could get 4 of either of those and wire all of them to 4ohms. A pair of the RE SE15's or the Tempest 15's would be good as well. After you pick some drivers we can help you with the enclosure for them.