Well, 29.6 isn't 10MHz away from 34MHz. It is JUST over 4MHz which happens to be the same size as the 2 meter band. And many HTs use a single antenna that easily covers all of 2 meters.
And commercial radios commonly get used from 151MHz to 170MHz with a single antenna.
While bandwidth issues do arise with a 10 meter HT antenna, you really need to look at the broader picture. Firstly, Loss as we understand it with fixed or mobile radio stations does not exist. There is no feedline present on an HT, so we have no feedline loss.
2ndly, if you are very worried about SWR when associated with an HT, put a bunch of rubber ducky antennas on an MFJ analyzer and start sweeping them. Pretend that the analyzer is an HT (it is actually MUCH bigger than an HT) and just move it around like you would your radio. The SWR from any one point can change rapidly from resonant to WELL over 10:1. Put it by your head, then place it by your belt, then just walk around in your house or sit in your vehicle. And this is all at VHF (2 meters). Give it a shot with a HEAVILY loaded 10 meter ducky. This will be even more finicky. Near field objects will screw with it.
Wanting the lowest SWR with an HT is a noble cause, but it is impossible to get with an HT. Sure you can pull the antenna off and tune it over a groundplane, but that is completely unrealistic. I don't care what the ideal results are, I want to know what the actual field results are. And any manufacturer who is worth a darn has provided for safety margins in these radios. I have never had the finals on an HT go out, and neither have most hams.
If you REALLY want to get the best SWR, carry a small roll up dipole and string it in the trees when needed. They are small and would work a LOT better than the ducky. Or if you want to remain mobile, look at hfpack.com. Those folks understand pedestrian mobile ops on HF bands, and you don't seen their antennas hooked to HTs. They are bolted to pack frames and have inline tuners.