Pricing can vary from shop to shop and region to region. The reputation of the shop and if they have experience with alloy heads and old 22 blocks is very important.
Any high quality machine shop, speed shop, or cylinder head shop should give you a complete detailed estimate on what they recommend needs to done, including shop time - after they have fully inspected everything.
Not knowing what those services exactly include, $1,000 for all that is a very fair price, from my recent experience here in Arizona.
My local cylinder head shop will charge about $260 - depending upon the condition of head - for rebuilding a 22RE head with top quality parts and workmanship (they only do cylinder heads). They will sell a new head, high quality manufacturer, with a stock cam for $400. It is generally recommended that an early rebuilt 22RE head be pressure tested, but it is not necessary.
For my 1986 22RE block, my local machine shop took 2 weeks:
Strip & thermal clean block. Magnfluxed for cracks & measure bores - $160.00
Set up and checked rods as needed
Deck block - $80.00
Bore & hone - $97.50
Polish Crankshaft - $30.00
Balance w/flywheel & pressure plate - $95.00
Final clean & check clearances, rod clearance .0016 to .0018 - Main bearing clearance .0018 to .020 -$128.70
My total was $608.28
My engbldr head with OS valve and 261C cam installed was: $548.00
Buying a remanufactured short block or long block can be very dicey. Unless someone shows me another viable source, 22RE Performance or LCE would be the only sources I would give serious consideration.