I didn't know 30 30 was not as suitable for reloading. Why exactly?
If the OP had stated he was mainly using the rifle for hunting then he would likely not need to shoot or reload very many rounds per year, and the difference in economy of the calibers would not be significant.
However, since the OP stated he would also like to use the rifle for recreational purposes, to me that means a lot more rounds fired per year. The .30-30 of course can be reloaded but compared to a revolver cartridge it will not be as economical.
1) The .30-30 takes about 30 gr of powder per case and the .44 takes about 24 gr, so it uses 25% more powder. Or, you get about 233 cases loaded per pound with the .30-30, and 292 for the .44 mag. If you download each cartridge just for plinking then it would be even more dramatic at about 25 gr for .30-30 and 6-10 gr for the .44 (2.5-4 times). Of course the .357 is even more economical for reloading where it uses 5-15 gr of powder per case, and the .38 a bit less.
2) As Sierra states, "The .30-30 is not a particularly strong case, and it is easy to buckle the case shoulder during seating and crimping." So you might loose a few more cases due to loading damage than with the straightwall .44. Also, the more shallow the shoulder angle the more tendency for the case to stretch, especially since the .30-30 headspaces on the rim and not the shoulder and should be full length resized each time for lever action reliability. Stretching of the brass leads to thinning of the case above the web and the need to eventually recylce the brass. Revolver cases rarely have this case-head separation weakening and instead fail with less dangerous case cracks and case mouth splits. You may get several reloadings per .30-30 case, but it won't be nearly as many (half or less) of what you will get with the revolver cases. And the case is the single most expensive component in reloading.
3) Bullets are probably about the same in terms of economy since it is easy to find both hard cast lead and jacketed for both. But, you will find a far greater variety of bullelts for the .357 or .44. While the .30-30 shoots the hugely popular .308" diameter bullets, it is limited in lever actions to only shoot the flatnose variety. In the revolver cartridges you can find many options for plinking, defense, and hunting.
So, if you shoot a lot of ammo per year for recreational purposes, then one of the revolver cartridges will be cheaper and have more variety of bullets on average. It also opens the door to such recreation as Cowboy Action Shooting contests.
The OP did not mention self defense use, but the revolver cartridges would again be more versatile for that purpose and much greater variety of suitable bulelts for reloading in that case.
As a purely hunting rifle the .30-30 has the advantage with more range. I am not sure there is much advantage either way under 150 yds. This is what the .30-30 was designed for and has done very well for 118 years or so.