Road bike frame for offroad/cx wheels
Personally, if your road frame is an out-and-out road bike - I would say you will be faced with several issues.


strength of your frame


Not only will this stress your frame - it may also fatigue the frame. And may cause sudden and catastrophic failure.


tyre clearance


Most road frames will not take a tyre greater than 28mm. Some no more than 25mm.


comfort


The seating position and reach could be altered to make more comfortable - but it will always be a compromise.


Geometry


Road bikes have different geometry to CX bikes. Lower bottom bracket offers lower clearance, steeper head angle makes the ride more twitchy.