I’ve got a budget of about £50 each for seatpost , stem and bars so I can probably get those 3 in under 700g.
Halve that, spend the money elsewhere… Buy bits 2nd hand too. Decent bars will cost you about £20 2nd hand, decent light stems can be had for about £15 even new (ebay or Merlin cycles), Seatpost is the one area I’d maybe spend a bit more on a 2nd hand Thomson myself but then I like them cos they’re strong.
SLX is worth the upgrade over Deore, in function alone if not a massive weight saving, though it is lighter obviously.
Any suggestions on a wheelset for about £150?
26″ or 29er?
I’m going to assume the former for the moment, but go custom… Sun Ringle EQ23’s for £15 each on CRC right now at 410g per rim, get them built onto something like Superstar Switch EVO hubs (about £100 a pair) and you’ll have a light, servicable set of wheels. Factory wheelsets at that price will be heavier, and inferior in just about every way.
Saddles can be another area where weight can be lost. Though don’t save weight here at the expense of comfort.
12kg for a fully rigid bike with light ally frame and carbon forks really isn’t taxing though, even on a small budget.