Unfortunately I can’t help much with the large size hole issue. Ours fit in the hole the original lock/ handle came out of no problem.
But...I have to say the RV lock with keypad has saved my butt more than one weekend when our camper is left at the campground for a few weeks at a time. Last weekend is case in point. When we were about at the campground, 3 hours from home, is when I realized I didn’t have the camper keys with me. No problem. Key in our lock code, and unlock door to camper. Get spare set of keys out of cabinet to unlock the outside storage and basement. Saved me another 6 hour round trip just to get the keys. The batteries in it last all summer for us. Put them in in the spring when get it out of storage, take them out in early winter when putting it in storage for the winter. Accidentally Left them in one winter and they still worked next spring. For us, it works great. And there is a key if the batteries die -and you have the keys with you.