I did that with a california common, drank it anyway as an acid based sanitiser (generica starsan varient) is perfectly safe once diluted. Only issue was the hops weren't really evident and that may be a side-effect of sanitiser contamination, like when folks don't drain a keg fully.Having tried making one, I'll just say to think about what air-lock you're using and the impact of cold-crashing.
I used a blow-off tube and forgot that cooling = suck-back. Cue half a pint of sanitiser in the brew and it going down the drain.
For lagers, I tend to start fermenting about 10c, after 5 - 7 days, depending on OG, I'll ramp up 1c per day to 16c then let it finish. If I think it's struggling to hit FG then I'll raise it to 18c. I'll normally then cold crash for at least a week, maybe 2 before bottling and letting it carb up warm. I've never actually lagered a batch properly as I don't have the storage to keep them cold for weeks to months without tying up my fermentation fridge.