I'm at Strathclyde so I get where you're coming from, flats in the centre are pretty expensive and I'd say you'd be lucky to get a furnished one for £600pcm +bills within walking distance significantly less than your current commute. Last year I managed to bag a studio at Merchant Studios which is 5-10 minutes away for £615 inc. bills which was an absolute steal, the studios closer to Cale are about £100+ more than that. I'm in a flat share at the moment paying £400pcm+bills which is a 20 minute walk away, and that was the cheapest I could find in a reasonable distance without living in areas which were either advised against or were 15-20 minutes away from the nearest shop, or in flats which weren't fit for purpose. I hope that gives you an idea of what your situation would be like.
In terms of social life, if you're having problems I'd consider that's because you had problems before starting university and are, to an extent, blaming that on your commute. If you're a mature student living at home it's unlikely that you would lose any social life as your old friends would still be around you. If that's the case you might want to try making friends like a normal adult first rather than as a student as it's going to save you that extra money you would otherwise spend on rent.