auba-
Even if your vessel has a design internal pressure of 3 psig, you may, at your option, design, fabricate, and stamp it per VIII-1. That's made perfectly clear in the code:
U-1(c)(2) Based on the Committee’s consideration, the following classes of vessels are not included in the scope of this Division; however, any pressure vessel which meets all the applicable requirements of this Division may be stamped with the Code U Symbol
So, yes, while a vessel with strictly an external pressure design condition equal to or less than 15 psig is excluded from the scope, you may still stamp it. This is commonly done, though usually the MAWP (internal) is greater than 15 psig.
On the other hand, if you choose, you may design and fabricate to VIII-1, but not U stamp the vessel. Or perhaps API-620 (I don't have it handy so can't check the scope).
As mentioned in previous posts, check (i.e. in writing!) with the jurisdiction in which the vessle will be installed before you commit to any particular code or standard.
jt