I play in a Metalcore Band (Drop C - C, G, C, F) and a Muse Tribute Band (Standard & Drop-D -mostly).. and although I have 2 basses - so it should be ideal to have one for each band, I use my Fender for both.
I tune my bass to Drop C all of the time, and then I will make correctments are tune it up to Standard for my Muse one for gigs or practises and then leave it back in Drop C. I have done this for a while and I havent really seen a difference in the neck.
I use Elites on my basses, Medium Gauge on my Yamaha and Heavy Gauge now on my Fender as my Metalcore band being in Drop C, it makes it easier to play breakdowns as the strins arent as floppy and kinda of fight-back at you.
However, the big problem is that I use a pick in my Metalcore band so its easy to play with thick strings, but having Heavy Gauge strings playing finger style for my Tribute band it a LOT harder to play songs, as it is more tension to play with so you get worn out easier - especially on songs such as Hysteria. I could play that song all day with my Medium strings but with Heavy I do feel my fingers going a bit!!
all in all, im just passing by my personal advice.
Heres a link to buy the strings, with a gauge selector on the right.
[url="http://www.stringsdirect.co.uk/products/578-elites_4_string_stadium_stainless_steel_bass_guitar_strings"]http://www.stringsdirect.co.uk/products/57..._guitar_strings[/url]
And heres a link to my band, if your interested (bass is turned down on the demo we have, as they didnt have a bass player at the time until I joined and we are still writing before doing more demos)
[url="http://www.myspace.com/amherstuk"]http://www.myspace.com/amherstuk[/url]