I've done the function band bit. Masonic functions, working men's clubs, dinner dances, the whole bit. The lead guitarist in the band hated what was my all-time favourite bass at the time, because it was too ballsy and too deep for his liking. I used a Fender Precision Lyte and they are just great. Basically all he wanted to hear was his guitar.
Any bass with a good all-round range of tones that you can switch between easily would do the job. Never had one myself, but seen and heard several - I'd reckon a MusicMan may be the very thing.
Good luck.