This is a somewhat tricky situation. The FAA has issued multiple legal interpretations that IFR traffic are bound by the same rules for traffic pattern direction as VFR traffic, even when circling: see Murphy (2009), Collins (2013), Krug (2014).
From the Collins (2013) interpretation:
As your letter states, under 14 C.F.R. § 91.126(b)(l), a pilot approaching to land at an airport without an operating control tower in Class G airspace is required to make all turns to the left unless approved light signals or visual markings at the airport indicate that turns must be made to the right. However, as your letter also points out, 14 C.F.R. § 91.126(a) allows pilots to deviate from the requirements of § 91.126 if "otherwise authorized or required." Therefore, a pilot approaching to land at an uncontrolled airport may make right
turns if such deviation is "authorized or required."
The FAA emphasizes, however, that the circumstances in which this deviation from § 91.126(b)(l) is "authorized or required" are very limited. The phrase "authorized or required" itself does not give pilots the discretion to deviate from§ 91.126. Such deviation must be "authorized or required" by the approach guidelines of a specific airport or by another FAA regulation.
If XLL were class E airspace to the surface, or circling minima were greater than 700 AGL, you could ask ATC to authorize right traffic for 25. (You could do this by ignoring the FIPDI minima, though circling 260' higher than you otherwise would). That's the method most in line with the FAA's interpretations.
Otherwise, there are two ways to view this situation: one is that the fact that circling south of 7/25 is NA implicitly authorizes right traffic for 25.
The other view is that, with circling south of 7/25 unavailable but left traffic being required, runway 25 is effectively not available from this approach: you'd have to land on 7, or make left traffic to 15 or 33. There's no official guidance on the matter, so until there's a more definitive ruling from the FAA, this is an unanswered question.