Against spells and magic there are a number of ways.
The paladin’s Divine Sense ability seems to be erroneously defined. In its definition it is not called out as magical by the rules detailed in the Sage Advice Compendium 2017 (Is the breath weapon of a dragon magical? p5). However, within the definition of a spell, namely Nystul's Magic Aura it clearly calls it out as such.
PHB 263 (emphasis mine).
Nystul's Magic Aura
You change the way the target appears to spells and magical effects that detect creature types, such as a paladin’s Divine Sense or the trigger of a symbol spell.
So it seems clearly intended to be magical, with that pseudo errata the rest of the following options work just fine if you consider the ability to also be divination in nature. Since the root word for divination is 'divine' it is not a stretch and with the added precident that Nystul's Magic Aura is intended to foil divination specifically I think it is intended.
It does have a flaw though. If one of your companions tries to dispel that Fear or other some spell on you it will immediately remove your "disguise".
For the duration, you hide a target that you touch from divination
There is an item that pretty much duplicates Nondetection as well and it is uncommon so accessible starting at lower hoard levels.
Amulet of Proof Against Detection and Location (uncommon). Long name, amazing results.
While wearing this amulet, you are hidden from divination magic. you can't be targeted by such magic or perceived through magical scrying sensors.
This and Nondetection have the bonus side effect of you being unable to be scried, and not only that if your companion is scried and you are in proximity you would be invisible through that sensor.
Ring of Mind Shielding. (uncommon)
While wearing this ring, you are immune to magic that allows other creatures to read your thoughts, determine whether you are lying, know your alignment, or know your creature type.
Personally, I would recommend this last one. It has the added bonus of foiling magic that would catch you in a lie. It won't block role-playing it out and them catching you in a lie by conventional means but things like Zone of Truth would be useless against you. Then cast Nystul's Magic Aura until it is permanent on the ring itself, then cause the ring to be invisible (built into the item itself).
The healing issue
It is important to note that as a vampire you would regenerate and are unaffected by healing magic. This could probably be pulled off as a bluff. Get yourself a platinum ring and have Nystul's Magic Aura cast till permanent to mimic a Ring of Regeneration. You can simply inform the healers that you will be fine because of the item and to not waste valuable resources on you but rather heal the rest of the party. Now if you are reduced to zero and turn to mist there could be additional issues obviously. The fact that you won't be within vicinity of your coffin is also problematic.