Here are my thoughts on these possibilities:
I haven't crunched the numbers, but it seems like the first will have a few major effects. First, Trap/Advance Planning will become a whole lot better. Similarly, bitten hunters, minions in Eastern Europe, etc. will become significantly stronger. Why? Low rolls become much less frequent and therefore the difference between rolls becomes a lot less. Also, this is a major nerf to Godalming since the third die helps out a lot less than the second die does (although in this case, he would never roll a 1).
As for the second situation, this would certainly drastically change combat. I might change it so that the initiative gap narrows slightly - for example, if the hunter plays a 5 and Dracula plays a 2, it would be nigh impossible to overcome that difference. Is this desirable? Maybe, maybe not. I feel like (although have not looked through the cards) it basically removes a few of the possible cards. Also, you would need to rework how ties get resolved, but that's only a minor issue.
I like the second much more than the first, but I would be happier if there were some kind of scaling (so that, for instance, a difference of one actually results in no difference of rolls, a difference of 3 results in a shift of 1, etc.)