I’m glad that you acknowledge that rabbits are not “cuddlers”, so with that in mind, I will point out that the desire to “handle him AND give him pets” can actually be exclusive — your rabbit will enjoy pets (if your rabbit enjoys pets to begin with) much more on the ground than in your arms. While the image of having a rabbit in your arms as you pet him/her is precious and so lovely, knowing that rabbits are not cuddlers inherently, it’s best to not attach yourself to this goal — really aim on continuing to build the trust, and I think you’ll find petting, without handling, can be SO worthwhile. I love floor cuddles with Wick much more than holding him. Now the idea of “safely handling him” is very important for a variety of reasons, so getting a rabbit OK with holding is a reasonable goal.
If you’ve been doing this for the past 2 months, I think your rabbit has reached his threshold most likely, and further tolerance will come through establishing your relationship, rather than exposure time to handling. The more comforting your presence, the more tolerable a rabbit may be — at least that’s my logic. So rather than going at it from a handling point of view, consider focusing more on your contact-relationship in other ways, like floor time as you mention.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.