FPGA boards with high clock speeds (hundreds of MHz)?
PLL - you feed a low frequency clock in, you get a high frequency clock out. 

Even with PCIe Gen3 as an example this is how it's done - you use a 100MHz reference clock and use a PLL to increase it to 4GHz. 

So really any board which has I/O buffers capable of the frequency you require (150MHz) and a clock that is of a nice multiple of it (50MHz could be multiplied easily by 3), then the board electrically should work for your application - as long as whatever connections on your development kit are suitable (e.g. length matched if needed). Without knowing more about the specific application/device you want to control or even the dev board you are using it is hard to say what is suitable.