Full batch size starter for Lager yeast

[DaveGillespie]

Just acquired all the bits and bobs required to build a fermentation fridge so I'm planning to do a Lager once I get it up and running. Yeast wise my alternatives are dried or build a very large started with a liquid yeast (no stirplate, so it would be a very large started indeed). I'm planning to do a hoppy APA style beer before the lager around 1.045 OG that I would usually use Nottingham or similar for. Would it be a sensible idea to ferment that beer with lager yeast (I'm looking at either Mangrove Jacks Bohemian Pils but am open to a liquid strain) and then use part or all of the yeast cake to ferment a lager?

If i do this, can I ferment the starter beer at around 17-18C without doing anything bad to the yeast that will have a subsequent negative effect on my Lager?