'Weighted' doesn't equate to 'feels moderately like a piano'; you'd need to look at 'hammer action' keyboards for that. And they're not cheap.
Search for the CME UF8 88-key hammer action keyboard. It's about as cheap as you're going to get for your requirements without going into the used market - £330 new; maybe less if shopping around or if there's one on t'eBay.