SLC Tower Controller reported aircraft radio problems with an aircraft which led to the aircraft going into a higher MVA.

Narrative

Winds at the surface were pretty light out of the south; but a few minutes prior to the event I had a pair of Aircraft Y's that reported much stronger winds during their climb out and the heading (280) I used with them was barely able to keep them south of point Nichol. (Nichol is a point west of the airport that we (Tower) have to keep departures south of because TRACON starts descending planes in the downwind at that point.)Aircraft X called ready out of the de-ice pad after completing their run-up. I departed them on a interim heading of 240 anticipating that they would make a quick turn; and the 240 heading would give me plenty of room to stay south of Point Nichol; and allow me to get them on their correct departure heading sooner. As Aircraft X got off the departure end; and at a point I was comfortable they would stay south of Nichol; I gave them a turn right heading 295 with no response. I tried again with no response; but watched them for a few seconds to see if they would turn; but just weren't able to transmit. I then tried one one time and asked them to acknowledge with an IDENT (Identify); and still got nothing. I then notified the OS (Supervisor) that I had lost comms with Aircraft X; then tried them on [a different] frequency and told them to acknowledge with an IDENT. Still got nothing. I even had a company aircraft that was holding short of the runway try and reach out to him via a company line or other ways. Somewhere around that time Aircraft X started squawking RF (Radio Frequency).The 240 heading had him heading towards higher MVAs; and as he got closer to those MVAs he also stopped his climb and entered in a 090 MVA at 079 MSL. We watched him for a while and after he made an apparent turn towards a satellite airport (ZZZ) I checked with the OS and started sending more departures out; this time only using a 260 interim heading instead of the 240.I can use less drastic headings for my interim heading so they aren't pointed right at the MVA west of the airport when I launch them.