I don't have an IC-R7000, but I do have an Icom IC-PCR1500, which also is a wide band receiver that covers shortwave through 3GHz. I use a Par Electronics EF-SWL longwire antenna for shortwave, and a Par MON-3 antenna for VHF/UHF. I have a coax switch that allows me to select either antenna depending on whether I'm monitoring shortwave or VHF/UHF. Works for me!
AOR makes the SA7000, which is a wideband vertical antenna that covers shortwave through 2GHz. I have not used one, so I can't say how well it works, but this is an example of a single antenna solution that might work for you. It's expensive, around $230.