If you use prototype jevonite hardpoints, those can boost your SIF by 100 skill points, which can mean around 25k hull on most cruisers, so I would imagine that using those in conjunction with a deflector that also boosts these points such as the MACO deflector could do it, though I've not tested it.
The adapted MACO shield has some of the highest in the game, combined with Mk12 VR Field Generators could boost your shield HP by a lot as well assuming that you had maximum points in shield systems, the additional gain from the romulan passives and or a deflector that boosted it.
Again I have no evidence to prove this would work, but at least on paper it sounds possible.
They who can give up essential liberty to obtain a little temporary safety, deserve neither liberty nor safety. - Benjamin Franklin
FACR here, can get my hull up to 58.85k with 10k per shield facing, no field gens. With field gens and the Adapted MACO shield, I could probably hit 14-17k shields per facing easily. I think your best bet though would be with either the recluse or the Sci Oddy. I know I can get my Tac Oddy hull up to 56k with ease, and with just one field gen has 12k per facing (mk XI blue). It already has a shield rating of 1.15, add in the .88 from four mk XII purple field gens and the additional .33 from your skills, and you can easily get your shields up to MASSIVE amounts per facing. Probably close to 26k.
It is said the best weapon is one that is never fired. I disagree. The best weapon is one you only have to fire... once.