Int-Amp after Rega Mira 3? What's Next?

My first decent amp was a Mira 3. Sound is clear, mid and highs are detailed - analytical to the point of coldness. On some music it sounds great (electronic, classical) but rock sounds dead, no oomph, even with sub-bass.

So, looking for a 'modest' priced integrated to return that sense of analog warmth to my sound (while hopefully retaining some of that great Rega detail, clarity). Any thoughts on an int-amp that is more 'human' without breaking the bank?