BTW - I've owned two of those Savage 24s; a 24F and a 24V. Both were POS. The triggers were horrible, the shotgun barrels were not to POA, and the rifle barrels lacked any really decent accuracy. Oh, and the little selector pin thing in the hammer... it will eventually get lose and not work right; i.e. firing the wrong barrel, not firing, etc.
I've heard that the older (like 60s and early 70s) 24s were decent, but the later ones are junk.
IMHO, likely the best "combination gun" you're going to find is a good shotgun, and a good, light carbine or handgun. A T/C Contender in either carbine or handgun configuration, and a Rem. 870, would run you just a bit more (figuring that you could source them used) as a decent combination gun, be one heckuva lot easier to find, and likely much more accurate and useful.