I have the UH but put my Cin. Lam Ultra Varmint wood on; same 'beavertail' forestock shape and I dont have any problem gripping it, but I dont really try to hold down my rifle either. Grip it hard one time and loose the next and the POI will change vertically, so I, from much target work, tend to use the same 'loose in the hand' hold on everything (except Ol' Ugy Overkill, the 12ga. slug vicious kicking beast). I guess if you are intending to use nasty 45-70 loads I can understand that desire for a firm hold, but in loads for normal mortals?..........
But, if you must, how about reshaping your H&R wood?
Ive considered putting iron sights on mine, the basic BC type peep, or the Skinner, etc. in back and a ramp front with the one screw hole rather than cut an unsightly dovetail. But, Im having such good results with the scope on it, and the scope does not look out of place on this rifle, that I have not done sights.