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enable more control over the imbalance of property acquisitioning in the beginning of the game?

I thought maybe by altering the dice you could somehow reduce the amount of luck. Well, I came up with a whole new set of rules to add to the game with this goal in mind. I'm not sure if my ideas will make for a more fun gaming experience, but I may have increased the amount of strategy needed and thus reducing the overall outcome of the game to come down to luck and more to cunning.

The rule change idea started out from a simple change in the dice. First, remove the six and the one on the dice and replace them with three and four. This would keep the variance in rolls down making it easier to predict what people will roll and therefore where they are liable to land in their next turn. In this scenario, the lowest number you could roll is 4 and the highest is 10 with six, seven and eight being twice as likely as before (and they were already the most likely of numbers to roll). Now when someone is on B&O Railroad you'll feel like your $1200 investment into the Greens for six houses on the unimproved group for a measly average return of $410 per property when someone lands will be less risky of an investment than it normally would be.

Now, just wait a second before you dismiss me offhand based on this initial fiddling with the dice. It gets better. Not to complicate things more, but maybe a fun way to add perhaps a little more strategy and less luck to the game would be to allow players (with the new dice scheme I just laid out) the option of actually being able to change one of the numbers on the dice after rolling the dice on their turn. This number would be chosen before the game commences by each player to be the number they get to alter for the entire game. You choose any number between 2 and 5 as your number to change. You would not be allowed to change this number once the game is underway. It is your number you get to change for the entire game.

For example: Everyone chooses the number which they want to be able to alter. Here's where it gets complicated. Because three and four have twice the chance of being rolled, if you choose these numbers as your number you get to alter, then you are limited to only being able to alter it to 3 or 4. To clarify: if you choose 3, you are only allowed to alter it up one to make it a 4. You would not be able to alter it down. The transverse of this would be true if you picked 4. You would only be able to alter it to a 3. So

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