Wrexham to Manchester Airport in an hour....if everyone is watching the Olympics opening ceremony...and it's school holidays...and you travel outside peak. My guess at 'normal' during rush hour (which is a fair window by the way) would be 1hr 20-30 ish each way. Seriously don't consider moving that far without staying over in a B&B for a week and doing the commute a few times - painful but worth it.
If you were looking that far then I suspect you'd like Farndon, Malpas and Tattenhall (bit closer that one). Lovely villages.
Lymm (to me) is more suburban sprawl with villagey centre than a village really. Nice enough but big.
It gets a lot cheaper down towards Crewe for a reason. Crewe is not considered a desirable place to live. If you can accept Crewe for what it is then it is fantastically positioned for travelling around the country by road/rail. Nantwich is lovely and would cost far more if it didn't adjoin Crewe. Part of the reason it's cheaper is that it's a fair hike to a large centre (i.e. Chester, Manchester or Birmingham).
Holmes Chapel is nice (& Goostrey, Peovers etc) if you lookthat far south. Holmes Chapel has two very well regarded primaries, a very well regarded secondary, train into Manchester (~45 mins), train to Crewe to change to the mainline, great bakers, few pubs, v handy for the M6. In fact the M6 is the only downside - the centre of Holmes Chapel gets a lot of road traffic to/from the M6.
Personally if working at Man Airport every day then I'd consider Holmes Chapel slightly too far. But it is about an hour in rush hour traffic which you said is ok. Goostrey would give you a smaller village with holme chapel round the corner and it's own train station.
Bunbury, Utkinton etc are very nice but again, possibly a little far to be guaranteed of making it within an hour every day.