Satisfied but not entirely' happy...[then elaborate further]
I am satisfied but there's still room for improvement [then elaborate further]
I am satisfied, but somehow not. Mixed feelings.
For the time being, I am satisfied but not highly satisfied.
I am satisfied but I wish I had scored a grade A (here satisfied with your performance, with you, but perhaps you are a perfectionist...)
Overall I am satisfied staying there except that…[elaborate further] << (source) Trip Advisor- so it would be a good wording with hotel reviews, comments, etc.
I haven´t seen many "satisfied" and "caveats" in the same sentence, but comments like "good/good trip, but with caveats".
It´s also more usual the "with the caveat that" (not used with "satisfied" in the same sentence, tough, at least not usually).
I am pointing out the "caveat thing" (of your question) but there is also other ways to replace it and mean that: I am satisified but there are some (small issues)/I am satisfied but I would like...etc etc