Hate to plug my own work (that's a lie) but my framework Jeet is perfect for this. Seems like you just need a solid responsive grid system so if you're not afraid of Stylus I invite you to fork this CodePen and toy around with it.
If it's not your cup of tea or you're more comfortable with other preprocessors (SCSS particularly) then I'd suggest Bourbon's Neat for a simple grid, or Singularity.gs for a really powerful grid.
Either way I'd suggest against "padding-based" grids like Bootstrap 3 and Foundation 4 as they essentially force you to create/nest extra elements inside of every element just for transparent gutters (something very common). It turns into way too much bloat.